Question

Find the unknown side length, x. Write your answer in simplest radical form.

Answer 1

The length of he hypotenuse of the triangle is x = 65.

Explanation:

Here, the base of the right triangle = 56

The perpendicular = 33

The hypotenuse of the triangle = x

Now, by PYTHAGORAS THEOREM: In a right angled triangle

`(Base)^(2)    + (Perpendicular)^(2)   = (Hypotenuse)^(2)`

or, here

`(56)^(2)    + (33)^(2)   = (x)^(2)`

or,
`x^(2)  = 3136 + 1089 \implies x = √(4225) \\x = 65`

Hence, the length of he hypotenuse of the triangle is 65.