A Right Triangle Has A Hypotenuse Of 13 Cm And One Leg That Measures 12 Cm. What Is The Length Of The Other Leg?


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Eun Hye Kang Profile
Eun Hye Kang answered
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:
c2 = a2 + b2
a2= c2 - b2
b2= c2 – a2
c=13, a=12, b= ?
b2= c2 – a2
b2= 132-122
b2= 169-144
b2= 25 (take a square root of both sides, b squared and 25 squared.)

b= 5

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