SOLUTION: In a triangle whose base and height are equal, the base b is given by the formula b=the square root of 2A, where A is the area of the triangle. Estimate to the nearest whole numbe

Algebra ->  Triangles -> SOLUTION: In a triangle whose base and height are equal, the base b is given by the formula b=the square root of 2A, where A is the area of the triangle. Estimate to the nearest whole numbe      Log On


   

Question 262208: In a triangle whose base and height are equal, the base b is given by the formula b=the square root of 2A, where A is the area of the triangle. Estimate to the nearest whole number the base of this triangle if the area is 17 square meters.
b=the square root of 2*17^2
b=2*289
b=578^2
b=24 m
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
area = (1/2)bh
so we can say
A+=+%281%2F2%29bh
b = h so
A+=+%281%2F2%29b%5E2
multiply by 2 and we get
2A+=+b%5E2
taking a square root we get
sqrt%282A%29+=+b
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we are told that A = 17. We get
sqrt%282%2A17%29+=+b
sqrt%2834%29+=+b
So, b ~ 5.83,
but to the nearest whole number, we get
b = 6.