Question

What is the length of the hypotenuse of the triangle? Write your answer as an exact answer.

A)11
B)65
C)57
D)22

Answer 1

Answer: the answer is c or 57

Explanation:

we have to use the formula a^2+b^2=c^2

*it doesn’t matter what order we put them*

let: 7 be a^2 and 4 be b^2

7^2 is 49 and 4^2 is 8

49+8=57

Answer 2

AB =
`√(65)` units

Explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AB² = AC² + BC²

= 7² + 4²

= 49 + 16

= 65 ( take the square root of both sides )

AB =
`√(65)`