Question

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

Answer 1

Answer:

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

Step-by-step 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, $x^{2} = 3136 + 1089 \implies x = \sqrt{4225} \\x = 65$

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