can somebody please answer 5, 6 and 8? And please explain how you got those answers​

Answer:

5.root730 6.root329 8.root39

Step-by-step explanation:

use pythagoras law because its right angled triangle

hypautnse=root(side^2+side^2)

SORRY I DONT KNOW HOW TO TYPE ROOT SIGN ON HERE

Answer:

5. - 27.02

6. - 18.14

8. - 6.24

Step-by-step explanation:

Hello There!

Because each triangle is a right triangle we can solve for the missing side length using the Pythagorean Theorem

The Pythagorean theorem states that the sum of the two legs squared is equal to the hypotenuse squared

[tex]a^2+b^2=c^2[/tex]

For number 5 we are given two legs so all we have to do is plug in the values

[tex]17^2+21^2=c^2[/tex]

now we solve for c

[tex]17^2=289\\21^2=441\\441+289=730\\c^2=730\\\sqrt{c^2} =c\\\sqrt{730} =27.01851217[/tex]

we're left with c = 27.01851217

are final step is to round to the nearest hundredth

So we can conclude that the missing side length is equal to 27.02

For number 6 we are given the hypotenuse and a leg

So this time we use this equation

[tex]a^2=c^2-b^2[/tex]

where a^2 = missing leg

now we plug in the values and solve for a

[tex]a^2=27^2-20^2\\27^2=729\\20^2=400\\729=329\\a^2=329\\\sqrt{a^2} =a\\\sqrt{329} =18.13835715[/tex]

we're left with a = 18.13835715

our final step is to round to the nearest hundredth

So we can conclude that missing side length is equal to 18.14

For number 8 we are given the hypotenuse and a leg

so once again we use this equation:

[tex]b^2=c^2-a^2[/tex]

now we plug in the values and solve for x

[tex]b^2=8^2-5^2\\8^2=64\\5^2=25\\64-25=39\\b^2=39\\\sqrt{b^2} =b\\\sqrt{39} =6.244997998[/tex]

we're left with b = 6.244997998

our final step is to round to the nearest hundredth

so we can conclude that the missing side length is equal to 6.24

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