Question

Find the length of the hypotenuse if both legs of the right triangle are 3

Answer 1

h = 3
`√(2)`

Explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 legs.

let h represent the hypotenuse , then

h² = 3² + 3² = 9 + 9 = 18 ( take square root of both sides )

h =
`√(18)` =
`√(9(2))` =
`√(9)` ×
`√(2)` = 3
`√(2)` ← exact value

or h ≈ 4.24 ( to 2 decimal places )