The perimeter of an isosceles triangle is 50 cm and one of its sides is 13 cm smaller than the other
| August 28, 2021 | education
The perimeter of an isosceles triangle is 50 cm and one of its sides is 13 cm smaller than the other, find the sides of the triangle.
1. A, B, C – the vertices of the triangle.
2. According to the condition of the problem, the AC is less than AB by 13 centimeters. Therefore, AC = AB – 13.
3. Further calculations are performed using the formula for calculating the perimeter of a triangle:
AC + AB + BC = 50 centimeters.
BC = AB, since the triangle is isosceles.
4. Substitute in the original formula AB instead of BC and (AB – 13) instead of AC:
AB – 13 + 2AB = 50.
3AB = 63.
AB = 63: 3 = 21 centimeters
AC = 21 – 13 = 8 centimeters.
Answer: AC = 8 centimeters, AB = BC = 21 centimeters.
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