Question

What is the value of x?
A.39
B.41
C.26
D.17​

Answer 1

The answer is B.

Explanation:

You have to use Pythogorean Theorem, c² = a² + b² where c is the hypotenuse and a,b is the side lengths :

`{c}^(2) = {a}^(2) + {b}^(2)`

Let a = 40,

Let b = 9,

`{c}^(2) = {40}^(2) + {9}^(2)`

`{c}^(2) = 1600 + 81`

`{c}^(2) = 1681`

`c = √(1681)`

`c = 41 \: units`

*Take note, hypotenuse will always be the longest length among the 3 lengths.

*Pythogorean Theorem can only applied in a right-angle triangle.