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The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm. Find the measure of the other leg.

User Earnold
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1 Answer

3 votes

Answer:

The answer is 11.6 cm

Explanation:

The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)

Now we must input 16 cm into c and 11 cm into either a or b.

a^2+11^2=16^2 which is equal to a^2+121=256.

subtract 121 from both sides to get a^2 by itself

a^2+(121-121)=(256-121)

a^2=135

to get "a" by itself, we must find the square root of 135.

√a^2=√135

a=11.6

User Alexey Antonenko
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