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21. In a right triangle b = 14, c = 20, find a. Round to the nearest tenth.

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Answer:

a = 14.3

Explanation:

Since you have a right triangle you can use the Pythagorean Theorem.

a^2 + b^2 = c^2

we know b and c, so fill them in.

b = 14, c = 20 (this was given in the question)

a^2 + 14^2 = 20^2

simplify the squares.

a^2 + 196 = 400

subtract 196

a^2 = 204

square root both sides.

a = sqrt204

(use a calculator for this part)

a = 14.2828568571

round to the nearest tenth (one decimal place)

a = 14.3

User Kamila Szewczyk
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