SOLUTION: Find the length of the unknown side of a right triangle with sides a,b,and c where c is the hypotenuse using the following information. b=12, c=15

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Question 1006151: Find the length of the unknown side of a right triangle with sides a,b,and c where c is the hypotenuse using the following information.
b=12, c=15
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

recall: the hypotenuse is the longest side of a , opposite the right angle
so, use Pythagorean theorem:
given: ,









Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Find the length of the unknown side of a right triangle with sides a,b,and c where c is the hypotenuse using the following information.
b=12, c=15 
A right triangle with a leg of 12 and a hypotenuse of 15 represents a special right triangle: the 3-4-5 right triangle

3(4) = 12

3(5) = 15

3(3) = 9

This is a 9-12-15 right triangle, which when reduced results in a 3-4-5 right triangle

Shorter leg:  

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