Question

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Find the length of the third side. If necessary, write in simplest radical form.

Answer 1

10 units

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 sides.

let x represent the third side ( hypotenuse ) , then

x² = 7² + (
`√(51)` )² = 49 + 51 = 100 (take square root of both sides )

x =
`√(100)` = 10

The third side is 10 units