TOP QUESTION:
a= one leg
b= other leg
c= hypotenuse
a^2 + b^2= c^2
plug in known numbers
(12)^2 + b^2= (15)^2
to square, multiply the number by itself one time
(12*12) + b^2= (15*15)
144 + b^2= 225
subtract 144 from both sides
b^2= 81
take square root of both sides
b= 9
ANSWER: (D) 9 units
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BOTTOM QUESTION:
a= one leg
b= other leg
c= hypotenuse
a^2 + b^2= c^2
plug in known numbers
(4)^2 + (5)^2= c^2
16 + 25= c^2
41= c^2
take the square root of both sides
√41= c
41 is not a perfect square
ANSWER: (D) √41 units
Hope this helps! :)
