You are given an isosceles triangle ABC with AB = BC. Its perimeter is 42 cm. BM height is 16 cm.

You are given an isosceles triangle ABC with AB = BC. Its perimeter is 42 cm. BM height is 16 cm. Find the perimeter of triangle BMC.

Given:

isosceles triangle ABC,

АС – base,

height BM, led to the base of the speaker,

BM = 16 centimeters,

P ABC = 42 centimeters.

Find the perimeter triangle of the Navy -?

Solution:

1. Consider the triangle ABC. Its perimeter is:

P ABC = AB + BC + AC;

P ABC = 2 * BC + AC;

42 = 2 * BC + AC;

21 = BC + AC / 2.

2. Consider the IUD triangle.

P BMC = BC + BD + MC (MC = AC / 2, since BM is the median);

R BMC = BC + 16 + AC / 2;

R BMC = BC + AC / 2 + 16;

P BMC = 21 + 16;

P BMC = 37 centimeters.

Answer: 37 centimeters.