The base of a straight prism of a right-angled triangle with the base of legs 15 and 20, the large side face
| June 22, 2021 | education
The base of a straight prism of a right-angled triangle with the base of legs 15 and 20, the large side face and the base of the prism have the same area and find the area of the lateral
Find the area of the base (half the product of the legs): 0.5 * 15 * 20 = 150.
Find the hypotenuse of a right-angled triangle using the Pythagorean theorem: √ (225 + 400) = √625 = 25.
Find the height by dividing the area of the base by the hypotenuse: 150/25 = 6.
Find the side area: 150 + 15 * 6 + 20 * 6 = 150 + 90 + 120 = 360.
Answer: 360.
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