For an art project, you are using a piece of cloth that is cut out in the shape of a right triangle. Find the area of the cloth.
![For an art project you are using a piece of cloth that is cut out in the shape of a right triangle Find the area of the cloth class=](https://us-static.z-dn.net/files/d4e/cb3437d34619fef871bc06e73a490b1a.jpg)
Answer:
area = 32 in²
Step-by-step explanation:
the area (A) of a triangle is
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 8 and h = 8, hence
A = [tex]\frac{1}{2}[/tex] × 8 × 8 = 32 in²
The cloth, that is cut out in the shape of a right triangle has an area of 32 sq. inches.
The area of a surface is the total space occupied inside its boundary in two-dimensions.
The area of a right triangle is half the product of its legs, that is, the area of a right triangle is (1/2)*(leg 1)*(leg 2).
In the question, we are informed that for an art project, we are using a piece of cloth that is cut out in the shape of a right triangle.
We are asked to find the area of the cloth.
As the cloth is in the shape of a right triangle, its area is half the product of its legs.
The legs of the right triangle, as shown in the figure are 8 inches each.
Thus, the area of the cloth = (1/2)*8*8 sq. inches,
or, the area of the cloth = 32 sq. inches.
Thus, the cloth, that is cut out in the shape of a right triangle has an area of 32 sq. inches.
Learn more about the area of a right triangle at
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