Question

Determine the length of the legs in the right triangle below.

Answer 1

x = 14

Explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (14
`√(2)` )²

2x² = 392 ( divide both sides by 2 )

x² = 196 ( take the square root of both sides )

x =
`√(196)` = 14

Thus the congruent legs are 14 cm