The side of an isosceles triangle is 25 and the base is 14. Find the area of this triangle.
| December 18, 2020 | education
Let’s find the area of the triangle through the Herron formula:
S = √ (p (p-a) (p-b) (p-c)), where p is a semiperimeter, a, b, c are sides.
Let’s find a semi-perimeter:
p = (25 + 25 + 14) / 2 = 64/2 = 32
S = √ (32 (32-25) (32-25) (32-14)) =
= √ (32 * 7 * 7 * 18) = √ (4 * 4 * 2 * 7 * 7 * 2 * 3 * 3) =
= 4 * 2 * 7 * 3 = 8 * 21 = 168
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