find the length of one side of a triangle if the hypotenuse is 15 inches and the length if the other side is 12cm
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The hypotenuse of a right triangle is 15 centimeters long. One leg is 9 cm long. How do you find the length of the other leg?
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The other leg is 12 cm long. Explanation: Use the Pythagorean theorem: c2=a2+b2, where: c is the hypotenuse, and a and b are the other two sides (legs). Let a=9 cm Rearrange the equation to isolate b2. Plug in the values for a and c, and solve. b2=c2−a2 b2=(15 cm)2−(9 cm)2 Simplify. b2=225 cm2−81cm2 b2=144 cm2 Take the square root of both sides. b=√144 cm2 Simplify. b=12 cm
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