The Hypoteneuse Of A Right Triangle Is 25 Feet. If One Leg Is 24 Feet, What Is The Lenght Of The Other Leg?

The hypoteneuse of a right triangle is 25 feet. If one leg is 24 feet, what is the lenght of the other leg?

  Use pythagorean thereom
 {c}^{2} = {a}^{2} + {b}^{2}
where c is the hypotenuse and a and b are the legs of the triangle
substitute
 {25}^{2} = {24}^{2} + {b}^{2} \\ {25}^{2} - {24}^{2} = {b}^{2} \\ \sqrt{ {25}^{2} - {24}^{2} } = b \\ \sqrt{625 - 576} = b \\ \sqrt{49} = b \\ b = 7
7 feet is the length of the other leg

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