Find the legs of a right-angled triangle if they are 7: 8 and the area of the triangle is 112 cm2.

univerkov | December 1, 2020 | education

If the sides relate as 7: 8, then we denote 1 as X,
Then a = 7x, and b = 8x,
And by the formula we calculate the sides
S = (a * b) / 2
S = (7x * 8x) / 2 = 112
56x = 112
X = 2
Knows that leg a = 7 * 2 = 14, and b = 8 * 2 = 16
Answer: a = 14; b = 16

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