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What is the length of the hypotenuse of a right triangle with leg lengths of 21 inches and 28 inches?

asked Apr 10, 2013 in GEOMETRY by Jose Rodriguez Rookie

2 Answers

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Right triangle one leg length  BC(a) = 21 inches

Right triangle another leg length AB(c)  = 28 inches

 From the diagram Pythagorean theorem : AC2 = AB2 + BC2

b2 = 282 + 212

b2 = 784 + 441

b2 = 1225

Take square root each side

b = 35.

The length of the hypotenuse of a right triangle  = 35 inches.

answered Apr 13, 2013 by diane Scholar
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Pythagorean theorem: a2 + b2 = c2, where a = leg1, b = leg2, c = hypotenuse
 

substitute the known values

212 + 282 = c2

441 + 784 = c2

1225 = = c2

c = sqrt ( 1225) = 35

answered Apr 13, 2013 by Naren Answers Apprentice

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