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the b ase of an isosceles triangle is 5more than its legs if the perimeter is 41inches find the value of the b ase and the legs

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4 votes

Answer:

base is 17 inches and legs are 12 inches

Explanation:

the legs of an isosceles triangle are congruent

let the leg be x then base is x + 5

given the perimeter is 41 , then

x + x + x + 5 = 41

3x + 5 = 41 ( subtract 5 from both sides )

3x = 36 ( divide both sides by 3 )

x = 12

x + 5 = 12 + 5 = 17

the legs are 12 inches and the base is 17 inches

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