The perimeter of an isosceles triangle is 46 cm, the base is 20 cm. What is its lateral side?

An isosceles triangle is a triangle in which two sides are equal and are called lateral sides, and the third unequal is based:

AB = BC.

The perimeter of a triangle is the sum of all its sides:

P = AB + BC + AC.

Since the sides AB and BC are equal, then:

AB = BC = (P – AC) / 2;

AB = BC = (46 – 20) / 2 = 26/2 = 13 cm.

Answer: the side of the triangle is 13 cm.



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