Question

Question 28
Find the length of each leg. Leave answer in simplest radical form.

Answer 1

C

Explanation:

Since the triangle is right use Pythagoras' identity to solve for x

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

Note the 2 legs are equal, that is both x, hence

x² + x² = 16²

2x² = 256 ( divide both sides by 2 )

x² = 128 ( take the square root of both sides )

x =
`√(128)` =
`√(64(2))` =
`√(64)` ×
`√(2)` = 8
`√(2)`