Let's assume the base of the original right-angle triangle is b and the height is h.
The original area of the triangle is 1/2 * b * h.
The stretched triangle has a base that is twice as wide, so its base is 2b.
The height of the stretched triangle is half the height of the original, so its height is h/2.
The area of the stretched triangle is 1/2 * (2b) * (h/2) = 1/2 * 2bh/2 = 1/2 * b * h.
Therefore, the area of the resulting triangle (stretched triangle) is the same as the original triangle.
Therefore, the answer is b. the same as the original.
A right-angle triangle is stretched so that the base of the triangle is twice as wide, but the height of the stretched triangle is half the height of the original. The area of the resulting triangle will be:
a. larger than the original.
c. exactly double the original.
b. the same as the original.
d. smaller than the original.
1 answer