Question

Find the length of the hypotenuse of a right triangle if both legs measure 14√6 inches.

Answer 1

`2√(42)` or 12.96

Explanation:

Both legs are a and b in the pythagorean thm formula:

a² + b² = c²

Given:

a = 14√6

b = 14√6

Work:

a² + b² = c²

14√6² + 14√6² = c²

84 + 84 = c²

168 = c²

`√(c^2) =√(168)`

c =
`2√(42)`

Rounded to hundredths:

c = 12.96