If c is the measure of the hypotenuse of a right triangle, how do you find each missing measure given a=x, b=x+41, c=85?
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Answer:
Step-by-step explanation:
WE KNOW
c²=a²+b²
85²=x²+(x+41)²
7225=x²+x²+82x+41²
2x²+82x+1681-7225=0
2x²+82x-5544=0
x²+41x-2772=0
x=(-41±√41²+4*2772*1)/2
=1/2*(-41±√12769)
=1/2(-41±113)
Now as side can not be negative
so x=1/2(-41+113)=1/2(72)=36 cm
so a=x=36 cm
b=x+41=36+41=77 cm
so a=36 cm ,b=77 cm,c=85 cm
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