Question

Given a triangle with perimeter 63 cm, one side of which is 21 cm, and one of the medians is perpendicular to one of its angle bisectors. Find the lengths of all sides of the triangle. *The answer is not 21, 21, and 21

Answer 1

The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm

Explanation:

Given that the perimeter of the triangle = 63 cm

And the length of one side = 21 cm

and one of the medians is perpendicular to one of its angle bisectors

Since triangle has 3 sides,

Median = 63 ÷ 3 = 21

Therefore each side length = 21 cm