Find the length of the base of an isosceles triangle with pe

Find the length of the base of an isosceles triangle with perimeter 25 inches and a length of a leg 8 in.

Solution

Given Perimeter of an isosceles triangle = 25 inches.

We know , Perimeter of a Isosceles triangle = 2a+b where a= each leg of the triangle and b is base of triangle.

Legs in an isosceles triangle are nothing but the similar sides and base is the third different side.

Given one of the leg is 8 inches. Therefore other leg will also be 8 inches.

Therefore perimeter= 2(8) + (Third side or base)

25= 2(8)+ base [perimeter is given - 25inches]

Base = 25- 16= 9 inches

Therefore Required answer is Base= 9 inches

 Find the length of the base of an isosceles triangle with perimeter 25 inches and a length of a leg 8 in.SolutionGiven Perimeter of an isosceles triangle = 25

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