In an isosceles triangle ABC, the base AC = 13.8 cm. Find the length of the lateral side if the perimeter ABC = 38 cm.
| September 17, 2021 | education
1. We calculate the length of the lateral side of the triangle ABC, using the formula for calculating the perimeter:
AB + BC + AC = 38 centimeters.
2. Triangle ABC is isosceles according to the problem statement. Consequently, its lateral sides AB and BC are equal.
2. Substituting AB instead of BC into the formula, we obtain an expression of the following form:
2AB + AC = 38 centimeters.
AB = (38 – 13.8) / 2 = 24.2: 2 = 12.1 centimeters.
Answer: The length of each of the two sides of the triangle is 12.1 centimeters.
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