SOLUTION: In a certain isosceles triangle, the base is seven less than twice the measure of one of the legs. The perimeter is 65 cm. Find the lengths of all three sides of the triangle.
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Question 485614: In a certain isosceles triangle, the base is seven less than twice the measure of one of the legs. The perimeter is 65 cm. Find the lengths of all three sides of the triangle. Answer by solver91311(24713) (Show Source):
Let represent the measure of one of the legs. Then, since this is an isosceles triangle, the other leg must also measure . We are also given that the base is . Finally, since we know that the perimeter of any polygon is the sum of the measures of all of the sides, we can write:
Solve for . Then calculate .
John
My calculator said it, I believe it, that settles it