Triangle MHM isosceles perimeter 60 centimeters MN side 2 times longer than MN side.

univerkov | May 28, 2021 | education

Triangle MHM isosceles perimeter 60 centimeters MН side 2 times longer than MН side. Find the length of the sides of the triangle.

Since the MHK triangle is isosceles, and one of its sides is twice as large as the other, the larger sides must be only the lateral side, otherwise the condition for constructing the triangle will not be met.

Let MK = X cm, then MH = KH = 2 * X cm.

Then Rmnk = 2 * MH + MK = 2 * 2 * + X = 60 cm.

5 * X = 60 cm.

X = MK = 60/5 = 12 cm.

2 * X = MH = KH = 2 * 12 = 24 cm.

Answer: The lengths of the sides of the triangle are 12 cm, 24 cm, 24 cm.

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