In a right-angled triangle ABC, the projections of legs AB and BC onto the hypotenuse are 7.2 and 12.8, respectively.
| November 24, 2020 | education
In a right-angled triangle ABC, the projections of legs AB and BC onto the hypotenuse are 7.2 and 12.8, respectively. Find the area of triangle ABC
h is the height drawn from a right angle.
h ^ {2} = 12.8 * 7.2
(BC) ^ {2} = h ^ {2} + (12.8) ^ {2} = 12.8 * 7.2 + 12.8 * 12.8 = 12.8 * 20 = 256.
BC = 16.
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