Question

A right triangle has legs with lengths of 28 centimeters and 20 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

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Answer 1

hypotenuse ≈ 34.4 cm

Explanation:

using Pythagoras' identity in the right triangle

a² = b² + c²

a is the hypotenuse and b, c the legs

given legs are 28 and 20 , then

a² = 28² + 20² = 784 + 400 = 1184 ( take square root of both sides )

`√(a^2)` =
`√(1184)` , that is

a ≈ 34.4 cm ( to the nearest tenth )