In an isosceles triangle MNK MN = NK, side length 11 cm, ND bisector and MD = 3.5 cm.

univerkov | September 2, 2021 | education

In an isosceles triangle MNK MN = NK, side length 11 cm, ND bisector and MD = 3.5 cm. Find the perimeter of the triangle MNK.

Since the triangle MNK is isosceles, then its bisector ND is also the median of the triangle, then MD = KD = 3.5 cm.

Then the side of the MK = MD + KD = 3.5 + 3.5 = 7 cm.

Determine the perimeter of the triangle MNK.

P = MN + KN + MK = 11 + 11 + 7 = 29 cm.

Answer: The perimeter of the triangle is 29 cm.

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