SOLUTION: A quilt pattern uses a right triangle with are 27cm^2. The base is twice as long as the height. a.) Determine the base and the height of the triangle. b.) Determine the perimeter

Algebra ->  Triangles -> SOLUTION: A quilt pattern uses a right triangle with are 27cm^2. The base is twice as long as the height. a.) Determine the base and the height of the triangle. b.) Determine the perimeter      Log On


   

Question 939454: A quilt pattern uses a right triangle with are 27cm^2. The base is twice as long as the height.
a.) Determine the base and the height of the triangle.
b.) Determine the perimeter of the triangle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
A+=%281%2F2%29bh+=++%281%2F2%29%282x%29x+= 27cm^2
x^2 = 27 (tossing out negative solution for unit measure)
x = 3√3, the height
base = 6√3
....
Right Triangle
.
(3√3)^2 + (6√3)^2 = c^2
27 + 108 = c^2
c^2 = 135
c = 3√15
....
P = 9√3 + 3√15