if the sides of a triangle are in the ratio 3:4:5, prove that it is
right-angled triangle​

Answers

Answer 1

Answer:

hope this helps

Step-by-step explanation:

Let a , b , c are three sides of a triangle

a : b : c = 3 : 4 : 5

a = 3x ,

b = 4x ,

c = 5x

a² = 9x²

b² = 16x²,

c² = 25x².

c² = a² + b²

by the pythagorean theorem,

a , b , c forms a right angled Triangle.

Answer 2

Answer:

yes it's a right angle triangle

Step-by-step explanation:

Given the sides are in the ratio 3:4:5.

Let ABC be the given triangle.

Let the sides be 3x,4x and hypotenuse be 5x.

According to Pythagoras theorem,

AC

2

=BC

2

+AB

2

BC

2

+AB

2

=(3x)

2

+(4x)

2

=9x

2

+16x

2

=25x

2

AC

2

=(5x)

2

=25x

2

AC

2

=BC

2

+AB

2

Hence ABC is a right angled triangle


Related Questions

Which do I pick A or B?

Answers

pickkkkkkkkkk B...!!!?

Emily drinks 6 cups of water every day, while Jackie drinks 8 cups of water every day. Which graph represents the total amount of water consumed by Emily and Jackie over a 4-day period?​

Answers

Answer:

6   12   18   24

___________

8   16   24   32

PLEASE HELP ASAP!! Students take a test worth a total of 100 points. There are 24 questions on this test, some are worth 5 points and others are worth 3. Solve for how many 5 point questions and 3 point questions there are on the test

Answers

Answer:

There are 14 5-point questions and 10 3-point questions.

Step-by-step explanation:

Form 2 equations:

Let x= 5-point questions

Let y= 3-point questions

1.) x+y=24

2.) 5x+3y=100

Use substitution by reforming equation 1 in terms of x or y (I used y)

1.) y=24-x

Sooo, substitute this into the y in the 2nd equation:

5x+3(24-x)=100

5x+72-3x=100

2x=100-72

2x=28

x=14

Now that we have x, substitute this into the 1st equation to get y:

1.) y=24-x

y=24-14

y=10

In conclusion, there are 14 5-point questions and 10 3-point questions.

Answer:

There are 14 questions that are worth 5 points and there are 10 questions that are worth 3.

Step-by-step explanation:

14 x 5 = 70

10 x 3 = 30

70 + 30 = 100

14 + 10 = 24 questions total

f(x) = (x + 1)²

what is the domain of f? please help​

Answers

The domain is all real numbers

13. L'Shonda purchased a container of juice that contains 200 calories. The label says that 40% of the calories are from carbohydrates. How many calories are from carbohydrates? ​

Answers

Answer:

80

Step-by-step explanation:

So I here's my thought process on this:

200 divided by 2 is 100

100 - 40% is 60, leaving 40 behind.

So double that and it would be:

200 - 40% is 120

200 - 120 = 80

80% is the answer.

Evaluate ƒ(x) when x = 10

Answers

Answer:

10f ?

Step-by-step explanation:

fx10

answer is : -24

need an explanation?
- step one :
for the first equation
given that x=-10
f(x) =2x-4 if 3x exists in this domain
substituting x in the equation we have
f(-10)=2(-10)-4
f(-10)= -20-4
f(-10)=-24

step two :
for the second equation
given that x=-10
f(x) =x²-+3 if 10<=x<13
x does not exist in this domain

Help me please ❤️❤️❤️❤️, everyone I wil give u 10 points

Answers

in the box under the +4 put a +1, which means that column would equal 7. and then to the right of the +1 put a +6. on top of the +6 put a +3. then to the left of +3 put a 0. and the. on the bottom of the +1, right next to the +2, put a +6.

Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part 5

Answers

it’s 100 degrees since it’s parallel to line n

Answer:

Angle 8 is 100 degrees.

Step-by-step explanation:

Corresponding angles (angles on the same spot in the transversal) are equal to each other. For example angle 2 will be equal to angle 6.

y+2 y+2 y+2 y+2 y+2
^
30

Answers

Answer:

45

Step-by-step explanation:

9y+1073741824

....…....…....…....…....…....…....…...

....…....…....…

1 Expand each expression
a 4(x+6)

Answers

Answer:

4x+24

Step-by-step explanation:

The correct answer is:

4(x+6)

4x + 24

Select the correct answer.
What is the solution for x in the equation?
-2x + 14 + 10x = 34
A. x = 6
B. x=2/5
C. x=1/8
D. x=5/2

Answers

Answer:

the answer is D. x=5/2

Step-by-step explanation:

I think

tanks the question below

Answers

Answer:

Option A

Step-by-step explanation:

Your choice is correct, this is A

y-intercept is the coordinate of the point at which discount is zero and amount spent is $7.5

Answer:

Option A

Step-by-step explanation:

Your choice is correct, this is A

y-intercept is the coordinate of the point at which discount is zero and amount spent is $7.5

Can someone help me with question 7

Answers

Answer: 25

Step-by-step explanation:

if she has 120 and if she has 20 leftover that means she used a 100. then u divide 100 by 4 cause it's a square and u get 25

What is the equation of the line graphed below ?

Answers

The answer is A. y = -2/5

Which container would most likely have a capacity that is measured in liters? A.Drinking Glass
B.Watering Can
C.Baby Bottle
D.Soup Spoon

Answers

B. A watering can

Have a good day

(X) 10.9.PS-7
Find the volume of the
triangular prism.
3.6 cm
9 cm
5.4 cm
The volume of the triangular prism is
3
cm

Answers

Answer:

9 cm because 69

Step-by-step explanation:

A hybrid SUV can travel 400 miles on a 15-gallon tank of gas. How many miles can it travel on 6 gallons of gas?

Answers

Answer:

160miles

Step-by-step explanation:

400miles uses15g what about 6g.

Using cross multiplication. Multiply 6x400/15 = 160miles

Answer:

160 miles

Step-by-step explanation:

If it travels 400 miles on 15 gallons, then it will travel x miles on 6 gallons

400 miles -> 15 gallons

x miles -> 6 gallons

15 * x = 6 * 400

15x = 2400

x = 2400 / 15

x = 160 miles

URGENT BRAINLIEST HELPPP

Answers

Answer:

242 ft²

Step-by-step explanation:

8X18=144

7X14=98

144+98=242

The answer to this question is 242

What is the number that when you multiply by 6 then subtract 4 from the product you get 32?​

Answers

Answer:

6

Step-by-step explanation:

6x6=36

36-4=32

Answer:

6

Step-by-step explanation:

6x6=36

36-4=32

Hope this helps!

I aint gonna lie this is easy points hehehehe

Answers

The answer is 8/125.....

help whoever ever get s it 5 stars and brainless ​

Answers

Answer:

3/4

Step-by-step explanation:

9/12 which can be simplified by dividing by 3 (the common factor) to get 3/4.

helppppppppppppppppppppp c/2+5=1

Answers

Answer:

c/2=-4

c=-8

Step-by-step explanation:

Answer:

c = -8

Step-by-step explanation:

Okay, so this is a standard equation, so we have to do the thingy thing on each side:

c/2 + 5 - 5 = 1 - 5

c/2 = -4

c/2 x 2 = -4 x 2

c = -8

So, c = -8

Express in the form 1:n
3:12

Answers

Answer:

1:4

Step-by-step explanation:

Given

3: 12

To express in the form 1:n

Consider how to make 3 equal to 1, we simply divide 3 by 3 to get 1 as such, we would also divide 12 by 3

3:12

= 3/3:12/3

= 1:4

Comparing with 1:n, it is safe to say that n = 4

Alberto buys a 600 balloons. Some of the balloons are pink.and the rest is green. He wants a estimate of the number of pink balloons in the bag. He ask 4 of his friends to each select a random sample of 10 balloons. Each friend returns the sample before the next friend selects a sample.

What is the estimate number of the pink balloons in the bag

Answers

Answer: there are 120 baloons in the bag

Step-by-step explanation:

10/ 600 = 4/x

10x = 1200

10/1200

x= 120

How many tons are equal to 36,000 pounds

Answers

Answer:

18

Step-by-step explanation:

18 US tons are equal to 36,000 pounds

In the figure, BC is a support for the roof
of a garage. What is the length of BC?

Answers

Answer:

Bc = √63 ft

Step-by-step explanation:

Here, we want to get the length of BC

As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side

So we want to get the third leg which is BC

we can use the Pythagoras’ theorem here

And that states that the square of the hypotenuse equals the sum of the squares of the two other sides

let the missing length be x

12^2 = x^2 + 9^2

144 = x^2 + 81

x^2 = 144-81

x^2 = 63

x = √63 ft

................................................................................................

Answers

Answer: A is the answer (7,9)

find the length of x in simplest radical form with a rational denominator

Answers

Answer:

           √3

Step-by-step explanation:

[tex]\cos(30^o)=\dfrac{\sqrt3}2[/tex]

From triangle: [tex]\cos(30^o)=\dfrac x2[/tex]

Therefore:

            [tex]\dfrac x2=\dfrac{\sqrt3}{2}\\\\x=\sqrt3[/tex]

It is equals to 3 I think

Solve the equation

x-4=-x+2

Answers

Answer:x=3

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

Given

x-4=-x+2

Add x on both sides

x-4+x=-x+2+x

2x-4=2

Add 4 on both sides

2x-4+4=2+4

2x=6

Divide 2 on both sides

2x/2=6/2

x=3

Hope this helps!! :)

Please let me know if you have any questions

HELP ME PLZZZZZZ MARKING BRAINLIEST

Answers

Answer:

14

Hope this helps!

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