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1. In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What
is the length of the other leg in inches?
A. 5
B. 5√ 7
C. 25
D. √ 7

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smmwaite

Answer

B. 5√ 7


Explanation

When solving the lengths of a right triangle we use either the trigonometric ratio or the pythagoras theorem.

c² = a² + b²

Where a and b are the legs of the triangle and c is the hypotenuse.

20² = 15² + b²

b² = 20² - 15²

   = 400 - 225

    = 175

b = √175

  = √(25 × 7)

   = 5√7 inches



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