The perimeter of triangle ABC is 62cm. BC = 17 cm = CA. find the length of the segment of side AB.

| September 20, 2021 | education

Any triangle has exactly three angles (as the name implies) and, accordingly, 3 sides.

There are three types of triangles:

versatile (all sides are different),
equilateral (all sides are equal)
isosceles (two sides are equal). In our case, the triangle is isosceles, since BC = AC = 17 cm.
Perimeter of a triangle
The perimeter of any shape is the sum of the lengths of all its sides. A triangle has only three sides, which means P = AB + BC + AC.

Our triangle is isosceles, BC = CA, so we write the perimeter formula as follows: P = AB + 2BC. The size of the side BC is known to us by the condition and is equal to 17 cm. Also, by the condition of the problem, we know the perimeter of the triangle ABC, which is 62 cm.

Let’s substitute all these values ​​into the perimeter formula: 62 = AB + 2 * 17; 62 = AB + 34. Move the numerical value to the left side: 62 – 34 = AB; AB = 28 cm.

Answer: AB = 28 cm.



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