The legs of a right-angled triangle are 6 and 8. Through the middle of its hypotenuse, two straight lines

The legs of a right-angled triangle are 6 and 8. Through the middle of its hypotenuse, two straight lines are drawn parallel to the legs. Find the area of the rectangle that the given lines cut off from the triangle.

Find the area of the rectangle, because by condition, straight lines are drawn, parallel to the legs. These straight lines divide the legs in half.
Therefore, one side of the rectangle = 6: 2 = 3, the second = 8: 2 = 4
Rectangle area = 3 * 4 = 12



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