Question

What is the length of the hypotenuse of the triangle below?
​

Answer 1

C

Explanation:

Since the triangle is right with hypotenuse h

Use Pythagoras' identity to solve for h

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

h² = ( 5
`√(2)` )² + ( 5
`√(2)` )²

= 50 + 5 0 = 100

Take the square root of both sides

h =
`√(100)` = 10 → C