Question

Q1: In the isosceles triangle below the legs are twice the

length of the base. The perimeter is 100 cm. What are the
dimensions of the isosceles triangle?

Answer 1

The base of the triangle has a size of 20 cm, while each side has a size of 40 cm.

Explanation:

An isosceles triangle is one that has two sides with an identical value, and one side with a different value from the previous ones. Thus, in the case the base will have a different value from the sides. In this regard, the perimeter (the sum of the sides) of the triangle is 100 cm, and the longest sides are twice the size of the base. Therefore, to determine the value of each side of the triangle, the following calculation must be performed:

X + 2X + 2X = 100

5X = 100

X = 100/5

X = 20

Thus, the base of the triangle has a size of 20 cm, while each side has a size of 40 cm.