SOLUTION: the front of an A-frame ski lodge is a triangle that is as wide it is tall. its area is 98ft^2. find the height of the lodge area of triangle A=1/2bh

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Question 957972: the front of an A-frame ski lodge is a triangle that is as wide it is tall. its area is 98ft^2. find the height of the lodge
area of triangle A=1/2bh
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
b=base=width=h; h=height=b; A=area=98ft^2
A=%281%2F2%29bh
2A=bh Substitute for h.
2A=b%5E2
sqrt%282A%29=b Plug in value
sqrt%282%2898ft%5E2%29%29=b
sqrt%28196ft%5E2%29=b
16ft=b The base is 16 feet.
h=b=16 ft ANSWER: The height is 16 feet
CHECK:
A=%281%2F2%29bh
98ft%5E2=%281%2F2%29%2816ft%29%2816ft%29
98ft%5E2=%281%2F2%29%28196ft%5E2%29
98ft%5E2=98ft%5E2