Question

An isosceles triangle has a side that measures 12 inches. What is the length of the hypotenuse

Answer 1

`\boxed{12 √(2) }`

Explanation:

Isosceles triangle are those triangle which have two equal sides.

Perpendicular ( p ) = 12 inches

Base ( b ) = 12 inches

Hypotenuse ( h ) = ?

Now,Using Pythagoras theorem,

`\mathsf{ {h}^(2) = {p}^(2) + {b}^(2) }`

Plug the values

`\mathsf{ {h}^(2) = {12}^(2) + {12}^(2) }`

Evaluate the power

`\mathsf{ {h}^(2) = 144 + 144}`

Calculate the sum

`\mathsf{ {h}^(2) = 288}`

Squaring on both sides

`\mathsf{h = 12 √(2) }`

Hope I helped!

Best regards!