The side of the triangle is 14, and the height drawn to this side is 31. Find the area of the triangle.
| September 25, 2021 | education
The area of a triangle can be found by knowing the length of one of its sides and the length of the height that is drawn to this side, using the formula:
S = (a * h) / 2,
where a is the length of the side of the triangle, h is the length of the height drawn to the side a.
By condition, the side of a triangle is 14 conventional units, and the length of the height drawn to this side is 31 conventional units. Substitute these values into the formula and find the area of the triangle:
S = (14 * 31) / 2 = 434/2 = 217 (conventional units²).
Answer: S = 217 conventional units².
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