Find the side of the triangle if the height drawn to it is 2.4 cm and the area is 2.44 cm2.

The area of a triangle is found by the formula:
S = ah / 2,
where a is the side of the triangle, h is the height drawn to the side a.
Substitute the known values and find the length of the side of the triangle a:
2.4 * a / 2 = 2.44;
(24 * a / 10) / 2 = 244/100;
24 * a / 10 * 1/2 = 61/25;
24 * a / 20 = 61/25;
6 * a / 5 = 61/25;
6 * a = 61 * 5/25;
6 * a = 61/5;
a = 61/6 * 5;
a = 61/30 = (60 + 1) / 30 = 2 whole 1/30 (cm).
Answer: a = 2 whole 1/30 cm.



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