In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse. If a and b are the lengths of the legs and c is the length of the hypotenuse then:

c

a

b

c=13, a=12, b= ?

b

b

b

b

b= 5

c

^{2 }= a^{2 }+ b^{2}a

^{2}= c^{2 }- b^{2}b

^{2}= c^{2}– a^{2}c=13, a=12, b= ?

b

^{2}= c^{2}– a^{2}b

^{2}= 13^{2}-12^{2}b

^{2}= 169-144b

^{2}= 25 (take a square root of both sides, b squared and 25 squared.)b= 5

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