Mathematics High School

The diagram shows a right angled triangle.
The length of the base of the triangle is 2 square root 3 cm. the length of the hypotenuse of the triangle is 6cm. The area of the triangle is A cm squared.
Show that A = k square root 2 giving the value of k.

The Diagram Shows A Right Angled Triangle. The Length Of The Base Of The Triangle Is 2 Square Root 3

Answers

Answer 1

Answer:

6 root 2

Step-by-step explanation:

Pythagous Therom

A^2 = B^2 + C^2

B^2 = C^2 - A^2

B^2 = 36 - (2 Root 3)^2

B^2 = 24

B = 2 root 6

Base x Height / 2 for area of Triangle

2 root 3 x root 24 = 12 root 2

12 root 2 / 2 = 6 root 2

Answer 2

The right triangle is the one where one of the angles is a right angle (90 degrees) or two of the sides are perpendicular.

Finding the value of k:

The right-angled triangle is one where one of the angles is equal to 90°. The sum of the other 2 aspects is 90°. The perpendicular and the base of the triangle are indeed the sides that include the right angle. The hypotenuse, which would be the longest of the three sides, is the third side.

In [tex]\Delta[/tex] ABC

h² = 6² -(2√3)²

h² = 36-2² × √3²

h² = 36- 4× 3

h² = 36- 12

h² = 24

h =√24

h = 2√6 cm

Area  = [tex]\frac{1}{2}[/tex]× BC × h

         = [tex]\frac{1}{2}[/tex] × 2√3 ×  2√6

        = 2√18

        = 6√2

compare it with A= K√2 So K= 6

Find out more about the right angled triangle here:

brainly.com/question/3770177

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Answer:

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Step-by-step explanation:

12 + 16 = 28

Hope this helps and sorry if wrong!

Answer:

28 miles hope this helps have a nice day please gibe me brainliest :))

Step-by-step explanation:

write an equation that is in slope-intercept form for the line that passes through the pair of points: (4, -2) and (8, -6)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

hi

Step-by-step explanation:

i translated your question…

and

[tex]x - 4 = 5 \\ x = 5 + 4 \\ x = 9[/tex]

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Step-by-step explanation:

19 + 11x - 7 - 2x + 13

Bring like terms together

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Answers

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Step-by-step explanation:

the answer for this question is

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Which equation has the same solution as x^2+10x+9 = 4

Answers

To factor you must play with factors which multiply to
9

(
1
×
9
,

3
×
3
,

9
×
1
)
(
x
−
9
)
(
x
−
1
)
=
0
Now, solve each factor for
0
:
x
−
9
=
0
x
−
9
+
9
=
0
+
9
x
−
0
=
9
x
=
9
and
x
−
1
=
0
x
−
1
+
1
=
0
+
1
x
−
0
=
1
x
=
1

1. How many groups of days are in 1 week?
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Type your equations in the box below.

Answers

Answer:

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Therefore 14 is your answer

Step-by-step explanation:

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P
M
N

Answers

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Step-by-step explanation: Use the equation to find the arc length. KCJ or 105. is about 13.74 centimeters.

write 12 as a product of its prime factors ​

Answers

Answer:

the Prime Factors of 12 are: 2, 2, 3.

Step-by-step explanation:

Therefore 12 = 2 X 2 X 3.

Samuel opened a savings account and deposited $1,500.00. The account earns 1% interest, compounded annually. If he wants to use the money for senior prom in 3 years, how much money will he have to spend on his outfit and limo?

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Step-by-step explanation:

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Step-by-step explanation:

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Which type of data is best represented using a line plot?
data that changes over time
data that is spread out over a large range of numbers
frequency data that can be plotted under categorical headings
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Aa 1

Step-by-step explanation:

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the answer will be

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solve using inverse operations:83 + q = 125; q=​

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Then solve for x:

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Answers

Answer:

Step-by-step explanation:

Your answer

Proportion????

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Step-by-step explanation:

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

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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                 5

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                 4

    1                 5

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   3                 4

                 1

Simplify   —

                 3

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Step-by-step explanation:

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(

7

,

13

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,

(

−

14

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19

)

Use the midpoint formula to find the midpoint of the line segment.

(

x

1

+

x

2

2

,

y

1

+

y

2

2

)

Substitute in the values for

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

.

(

7

−

14

2

,

13

+

19

2

)

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from

7

.

(

−

7

2

,

13

+

19

2

)

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(

−

7

2

,

13

+

19

2

)

Add

13

and

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.

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−

7

2

,

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2

)

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by

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.

(

−

7

2

,

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Answers

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Step-by-step explanation:

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Answer:

a= 516

Step-by-step explanation:

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Answers

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