Find the area of a right-angled triangle if its leg and hypotenuse are 7 and 25, respectively?
| December 13, 2020 | education
By the Pythagorean theorem: (leg_1) ^ 2 + (leg_2) ^ 2 = (hypotenuse) ^ 2.
Leg_2 = root of (25 ^ 2-7 ^ 2) = root of (625-49) = 24.
Area of a right-angled triangle = product of legs / 2
Area = 24 * 7/2 = 12 * 7 = 84.
Answer: 84 sq. units
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