Area of Non-right Triangles Quick Check
1 of 51 of 5 Items
Question
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 4. The second vertex is at the top of row 9 and the right of column 4. The third vertex is at the top of row 6 and the right of column 9.
Find the area of the non-right triangle. The base and height are found by counting the squares.
(1 point)
Responses
35 square units
35 square units
32.5 square units
32.5 square units
17.5 square units
17.5 square units
65 square units
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 1 and the right of column 6. The second vertex is at the top of row 7 and the right of column 1. The third vertex is at the top of row 7 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
64 square units
64 square units
24 square units
24 square units
48 square units
48 square units
32 square units
Area of Non-right Triangles Quick Check
3 of 53 of 5 Items
Question
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 1 and the right of column 3. The second vertex is at the top of row 7 and the left of column 1. The third vertex is at the top of row 1 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
45 square units
45 square units
18 square units
18 square units
54 square units
54 square units
27 square units
Area of Non-right Triangles Quick Check
4 of 54 of 5 Items
Question
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
28.5 square units
28.5 square units
36.5 square units
36.5 square units
32.5 square units
32.5 square units
24.5 square units
5 answers
1.
The first triangle has a base of 5 units (from column 4 to column 9) and a height of 7 units (from row 2 to row 9).
Area = 0.5 * base * height
Area = 0.5 * 5 * 7
Area = 0.5 * 35
Area = 17.5 square units
2.
The second triangle has a base of 5 units (from column 1 to column 6) and a height of 6 units (from row 1 to row 7).
Area = 0.5 * base * height
Area = 0.5 * 5 * 6
Area = 0.5 * 30
Area = 15 square units
3.
The third triangle has a base of 9 units (from column 3 to column 9) and a height of 7 units (from row 1 to row 7).
Area = 0.5 * base * height
Area = 0.5 * 9 * 7
Area = 0.5 * 63
Area = 31.5 square units
4.
The fourth triangle has a base of 5 units (from column 1 to column 6) and a height of 9 units (from row 2 to row 10).
Area = 0.5 * base * height
Area = 0.5 * 5 * 9
Area = 0.5 * 45
Area = 22.5 square units
Therefore, the areas of the triangles are:
1. 17.5 square units
2. 15 square units
3. 31.5 square units
4. 22.5 square units
1. Area of the first triangle: 17.5 square units
Answer: 17.5 square units
2. Area of the second triangle: 24 square units
Answer: 24 square units
3. Area of the third triangle: 18 square units
Answer: 18 square units
4. Area of the fourth triangle: 24.5 square units
Answer: 24.5 square units
Therefore, the correct answers are:
1. 17.5 square units
2. 24 square units
3. 18 square units
4. 24.5 square units