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A right triangle has an area of $30 cm^{2}$ and a hypotenuse of 13 cm. Find the sum of its two shorter sides.

Competition practiceAlgebra

A17 cm
B18 cm
C23 cm
D13 cm

Step-by-Step Solution

ab /2 = 30

gives

ab = 60

, and

a^{2} + b^{2} = 169

. So

(a + b)^{2} = 169 + 120 = 289

and

a + b = 17

cm. (Sides 5 and 12.)

Answer: A) 17 cm

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