The area of the triangle is 117, and one of its sides is 18. Find the height that is pubescent on this side
February 1, 2021 | education
| From the condition, we know that the area of the triangle is 117 sq. units, and the side of the triangle is also known to which the height is lowered – 18.
In order to find the height of a triangle, which is lowered to the side of a triangle of known length, we will use the formula to find the area of a triangle through the side and the height lowered to it.
Let’s remember the formula for finding the area:
S = 1/2 * b * h, where b and h are the side and the height lowered to this side, respectively.
Let’s express the height:
h = 2S / b;
Substitute and calculate:
h = 2 * 117/18 = 13 is the height of the triangle, lowered to side 18.
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