Kenzie notices that her neighbor has a window on his house that is in the shape of a triangle. The height of the window is 10 inches and the base of the window is 6 inches. She makes a scale drawing of the triangular-shaped window. If the base of her scale drawing is 3 inches, what is the height of her scale drawing? (1 point) Responses 7 inches 7 inches 3 inches 3 inches 5 inches 5 inches 10 inches
To find the height of her scale drawing, Kenzie needs to use the properties of similar triangles. Since the base of the triangular window is 6 inches and the height is 10 inches, the ratio of the base to height is 6:10, or 3:5.
Since the base of her scale drawing is 3 inches, she needs to determine what the height would be if the ratio is 3:5.
Using the ratio 3:5, the height of her scale drawing would be (5/3) * 3 inches = 5 inches.
Therefore, the height of her scale drawing is 5 inches.