Find the sides of an isosceles triangle if its P = 35 cm, and the base refers to the side as 3: 2.

An isosceles triangle is a triangle in which the sides are equal, as well as the angles at the base are equal.

Since the base of this triangle refers to its lateral side as 3: 2, we express them as:

3x – the length of the base of the speaker;

2x – the length of the sides AB and BC;

3x + 2x + 2x = 35;

7x = 35;

x = 35/7 = 5;

AC = 3 5 = 15 cm;

AB = BC = 2 = 10 cm.

Answer: the base of the triangle is 15 cm, the sides are 10 cm.



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