Thursday
June 20, 2013

# Homework Help: math

Posted by mt on Friday, May 4, 2012 at 1:01am.

given a right triangle ABC with the right angle at B find AB if AC = 25 in and BC = 6 in Approximate the length of AB to two decimal places

• math - Nakira, Friday, May 4, 2012 at 1:16am

Pythagorean theorem; a² + b² = c²

BC is a leg = 6
AC is the hypotenuse = 25
AB is a leg = x

The hypotenuse will always be c in the theorem equation. As for a and b it doesn't matter which leg you use.

6² + b² = 25²

36 + b² = 625

Subtract constant, in this case 36, from both sides to get b² by itself.

b² = 589

To get rid of the ²(squared) you would do the opposite which is a √(square root)

√b = √589

b = 24.26932222...

Question calls for the answer in two decimal places;

b = 24.27

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