Question

Help plz: In a right triangle, the length c of the hypotenuse is 14 and the length b of one of the legs is 8. Find the length a of the other leg to the nearest hundredth.


A:21.23
B:19.88
C:16.12
D:11.49

Answer 1

By the Pythagorean theorem, if the hypotenuse is C and the legs are A and B, then
C^2 = A^2 + B^2
Plug in the hypotenuse and the leg you're given and solve for the other leg.

Answer 2

?

Answer 3

What are you confused about?

Answer 4

I'll give you an example.
If I know that the hypotenuse of a triangle is 5 and one leg is 3, then I can plug into the Pythagorean theorem like this:
C^2 = A^2 + B^2
5^2 = 3^2 + B^2
now solve for B.
25 = 9 + B^2
25-9 = B^2
16 = B^2
sqrt(16) = B
4 = B.

Answer 5

Sorry. I teach math. I don't give answers.

Answer 6

ok

Answer 7

Happy to explain if you have any questions on how to do it.

Answer 8

thinking

Answer 9

i would say c because it goes best with what you said above

Answer 10

Thanks for the help