The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length of the triangle's other leg?

Question

Mathematics

Douglas Wood

1 November, 07:21

The hypotenuse of a right triangle is 14 centimeters long. One of the legs of the triangle is 6 centimeters. What is the length of the triangle's other leg?

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Answers (1)

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Kylie Patel · Answer 1

Use Pythagorean theorem to solve.

a^2 + b^2 = c^2

6^2 + b ^2 = 14^2

36 + b^2 = 196

Subtract 36 from both sides.

b^2 = 196-36

b^2 = 160

Take the square root of both sides.

b = sqrt 160

As a decimal

b = 12.649

As a simplified radical

b = 4sqrt10