Use the image to answer the question.
An illustration shows a 10 by 10 grid. A non-right triangle is enclosed within the grid. The first vertex is at the top of row 2 and the right of column 6. The second vertex is at the top of row 6 and the right of column 1. The third vertex is at the bottom of row 10 and the right of column 9.
What is the area of the non-right triangle? The base and height are found by counting the squares.
(1 point)
Responses
24.5 square units
24.5 square units
28.5 square units
28.5 square units
36.5 square units
36.5 square units
32.5 square units
32.5 square units
The area of the non-right triangle is 32.5 square units.
To find the area, you can split the triangle into a right triangle and a trapezoid, both of which can be calculated. The right triangle has a base of 5 units and height of 9 units, giving an area of 22.5 square units. The trapezoid has a top base of 4 units, bottom base of 1 unit, and height of 5 units, giving an area of 10 square units. Adding these together, you get 22.5 + 10 = 32.5 square units.