# Find the leg of a right-angled triangle if its other leg is 2 and the area of the triangle is 10.

July 24, 2021 | education

| The area of a right-angled triangle is calculated by the formula S = a * b / 2, where S is the area, a is the first leg, b is the second leg. Now we find leg b from this formula: b = 2 * S / a – this will be the desired leg. The first leg a = 2, area S = 10, substitute the given values into the formula and find the second leg:

b = 2 * S / a = 2 * 10/2 = 20/2 = 10;

Answer: 10

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