Question

Сторона АВ треугольника АВС в два раза меньше стороны ВС, сторона АС больше стороны ВС на 2 см. Найдите периметр треугольника АВС, если известно, что ВС = 6 см?

Answer 1

АВ=6:2=3см
АС=6+2=8см
Р=АВ+ВС+АС
Р=3см+6см+8см
Р=17см

Answer 2

Problem Analysis

We are given that side AB of triangle ABC is half the length of side BC, and side AC is 2 cm longer than side BC. We need to find the perimeter of triangle ABC when BC is known to be 6 cm.

Solution

Let's assign variables to the lengths of the sides of triangle ABC: - Let AB = x cm - Let BC = 6 cm - Let AC = BC + 2 cm = 6 cm + 2 cm = 8 cm

To find the perimeter of triangle ABC, we need to add up the lengths of all three sides: Perimeter = AB + BC + AC

Substituting the given values: Perimeter = x cm + 6 cm + 8 cm

Since we know that AB is half the length of BC, we can write: AB = BC/2 = 6 cm/2 = 3 cm

Substituting this value: Perimeter = 3 cm + 6 cm + 8 cm

Simplifying: Perimeter = 17 cm

Therefore, the perimeter of triangle ABC is 17 cm.

Answer

The perimeter of triangle ABC is 17 cm.