Question

Analyze the diagram below and complete the instructions that follow. Find the unknown side length, x. Write your answer in simplest radical form.

Answer 1

x = 65

Solution:

In the given diagram is a right angled triangle.

Base of the triangle = 56

Height of the triangle = 33

Hypotenuse = x

To find the hypotenuse of the given triangle.

By the Pythagoras theorem,

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

`x^2=56^2+33^2`

`x^2=3136+1089`

`x^2=4225`

Taking square root on both sides of the equation, we get

`\sqrt {x^2}=\sqrt {65^(2)}`

`x=65`

Hence x = 65.