The area of this right triangle is half the area of which of these rectangles?
A right triangle with side lengths 5, 12, and hypotenuse 13.
CLEAR CHECK
A rectangle with length 12 and width 13.
A rectangle with length 12 and width 5.
A rectangle with length 13 and width 5.
A rectangle with length 17 and width 13.
The area of the right triangle can be found using the formula A = 0.5 * base * height. In this case, the base and height of the triangle are 5 and 12, respectively.
So, the area of the right triangle is A = 0.5 * 5 * 12 = 30.
Now, let's compare the area of the right triangle (30) with the areas of the given rectangles:
- The area of the rectangle with length 12 and width 13 is A = 12 * 13 = 156.
- The area of the rectangle with length 12 and width 5 is A = 12 * 5 = 60.
- The area of the rectangle with length 13 and width 5 is A = 13 * 5 = 65.
- The area of the rectangle with length 17 and width 13 is A = 17 * 13 = 221.
Therefore, the area of the right triangle is half the area of the rectangle with length 12 and width 13.