Find the perimeter of a right-angled triangle if its area = 24 cm2 and the hypotenuse = 10 cm.
| June 12, 2021 | education
On the one hand, for a right-angled triangle, the area is half the product of two legs. So 24 = 0.5 * av.
On the other hand, the area of a triangle is equal to half the product of its side and the height drawn to this side. Whence 24 = 0.5 * h * 10, where h = 4.8 cm is the height drawn to the hypotenuse for this triangle.
Height h divides the hypotenuse into two segments 3.6 and 6.4 cm.
The legs are 6 and 4 cm.
All calculations are made for right-angled triangles, which are divided by the height of the original
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