The perimeter of an isosceles triangle is 324, and the base is 160 find the area of the triangle
| September 17, 2021 | education
1. Vertices of the triangle A, B, C. AC = 160 units of measurement. P is the perimeter of the triangle.
S is the area of the triangle.
2. AB = BC = (P -160) / 2 = (324 -160) / 2 = 82 units.
3. We calculate the area of the triangle according to the formula of Heron’s theorem:
S = √p (p – AB) (p – BC) (p – AC). p = 1/2 perimeter (P) = 324: 2 = 162 units.
S = √162 x 80 x 80 x 2 = 1440 units of measure².
Answer: S is equal to 1440 units of measurement².
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