please help on homework problem

Question

 

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

Answer 1

 

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.

Answer 2

 

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