Find the perimeter of an isosceles triangle if the side is 16 cm and the apex angle is 60 degrees.
April 26, 2021 | education
| Let’s build an isosceles triangle with vertices A, B, C. AB = BC = 16 cm, the angle at the vertex B is 60 degrees.
To find the perimeter, you need to add all the sides of a given triangle. AB and BC are given to us, we need to find AC.
In any triangle, the sum of the angles is 180 degrees. We find the angles A and C. They, as well as the angle B, are equal to 60 degrees, hence the triangle ABC is equilateral. AB = BC = AC = 16 cm.
Substitute this value into the perimeter formula.
Answer: 48 cm
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