SOLUTION: A triangular traffic island has a base Half as long as it's height.The island has an area of 49 mē find the base and the height

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Question 954698: A triangular traffic island has a base Half as long as it's height.The island has an area of 49 mē find the base and the height
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
h=height ; b=base=(1/2)h; A=area=49 sq m
A=%281%2F2%29bh Substitute for b.
A=%281%2F2%29%281%2F2%29%28h%29%28h%29
A%5D%281%2F4%29h%5E2 Multiply each side by 4/
4A=h%5E2 Find the square root of each side.
2sqrt%28A%29=h Put in value for A.
2sqrt%2849m%5E2%29=h
2%287m%29=h
14m=hANSWER 1: The height is 14 meters.
b=%281%2F2%29h
b=%281%2F2%2914m
b=7m ANSWER 2: The base is 7 meters.