The perimeter of an isosceles triangle is 186 cm, and the length of one of the sides is 58 cm.
| September 4, 2021 | education
The perimeter of an isosceles triangle is 186 cm, and the length of one of the sides is 58 cm. Find the length of two sides of this triangle.
Let’s denote the triangle ABC, then AB = BC.
1. Suppose AC = 58 cm. Perimeter is the sum of all sides. Then we compose the following equation:
AB + BC + AC = 186;
2 AB + 58 = 186;
2 AB = 128.
AB = 64 cm.
Answer: AB = BC = 64 cm.
2. Suppose AB = 58 cm, then BC = 58 cm. Then we get the following equation:
2 * 58 + AC = 186;
AC = 186 – 116;
AC = 70 cm.
Answer: BC = 58 cm, AC = 70 cm.
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