Which triangle has an area of 22.5 square units? Circle all that apply

Answer:The triangles in figures A , D have an area of 22.5 units²Step-by-step explanation:* Lets explain how to solve the problem- The area of any triangle is A = 1/2 bh , where b is the base of the   triangle and h is the height of this base- The horizontal line has same y-coordinates of its endpoints- The vertical line has same x-coordinates of its endpoints- In the Cartesian coordinates the length of any horizontal line is the  difference between the x-coordinates of its endpoints and the length  of any vertical line is the difference between the y-coordinates of  its endpoints* Lets solve the problem# Figure A∵ The vertices of the triangles are (-5 , 0) , (10 , 0) , (-1 , 3)∵ the end points of its base are (-5 , 0) , (10 , 0)∵ The base of the triangle = 10 - (-5) = 10 + 5 = 15 units∵ The height of the triangle is the difference between the    y-coordinates of its vertex and the y-coordinate of its base∵ The y-coordinate of the vertex is 3∵ The y-coordinate of the base is 0∴ The height of the triangle = 3 - 0 = 3 units∴ Its A = 1/2 (15)(3) = 22.5 units²* The triangle in figure A has an area of 22.5 units²# Figure B∵ The vertices of the triangles are (-1 , -1) , (-6 , -1) , (-2 , -8)∵ the end points of its base are (-1 , -1) , (-6 , -1)∵ The base of the triangle = -1 - (-6) = -1 + 6 = 5 units∵ The height of the triangle is the difference between the    y-coordinates of its vertex and the y-coordinate of its base∵ The y-coordinate of the vertex is -8∵ The y-coordinate of the base is -1∴ The height of the triangle = -1 - (-8) = -1 + 8 = 7 units∴ Its A = 1/2 (5)(7) = 17.5 units²* The triangle in figure B has an area of 17.5 units²# Figure C∵ The vertices of the triangles are (-9 , 2) , (-1 , 2) , (-7 , 8)∵ the end points of its base are (-9 , 2) , (-1 , 2)∵ The base of the triangle = -1 - (-9) = -1 + 9 = 8 units∵ The height of the triangle is the difference between the    y-coordinates of its vertex and the y-coordinate of its base∵ The y-coordinate of the vertex is 8∵ The y-coordinate of the base is 2∴ The height of the triangle = 8 - 2 = 6 units∴ Its A = 1/2 (8)(6) = 24 units²* The triangle in figure C has an area of 24 units²# Figure D∵ The vertices of the triangles are (0 , 0) , (0 , -9) , (5 , -7)∵ the end points of its base are (0 , 0) , (0 , -9)∵ The base of the triangle = 0 - (-9) = 0 + 9 = 9 units∵ The height of the triangle is the difference between the    x-coordinates of its vertex and the x-coordinate of its base∵ The x-coordinate of the vertex is 5∵ The x-coordinate of the base is 0∴ The height of the triangle = 5 - 0 = 5 units∴ Its A = 1/2 (5)(9) = 22.5 units²* The triangle in figure D has an area of 22.5 units²∴ The triangles in A , D have an area of 22.5 units²