SOLUTION: An isosceles triangle has an area of 200 square units, and the altitude to the base measures 10 units. What is the perimeter of the triangle?
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Question 38581: An isosceles triangle has an area of 200 square units, and the altitude to the base measures 10 units. What is the perimeter of the triangle? Answer by rapaljer(4671) (Show Source):
The isosceles triangle is actually TWO right triangles, where the base of the isosceles triangle is split in half. Therefore the base of the right triangle is 5 units, and the height is 40 units. Let c = the length of the hypotenuse of the right triangle, which is also one of the equal sides of the isosceles triangles.
Perimeter = sum of the THREE external sides, where
Base = 10 units
Each equal side =
