The length of side AB of triangle ABC is 234 mm and is shorter than side ACE 5 times.

The length of side AB of triangle ABC is 234 mm and is shorter than side ACE 5 times. Find the length of the side BC if the perimeter of the triangle is 2450 mm.

Given:

AB = 234 mm

P = 2450 mm

AC – 5 times more AB

ВС -?

Solution:

Let’s find the length of the AC side:
AC = 234 * 5 = 1170 mm

Let’s find the side of the BC:

Since P = AB + BC + AC, therefore:

ВС = P -AB -AC

BC = 2450 – 234 – 1170 = 1046 mm

Answer: The length of the BC side is 1046 mm.