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 5 inches 5 inches 3 inches 3 inches 10 inches
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The scale factor is given by the ratio of the length of the base in the actual triangle to the length of the base in the scale drawing.
In this case, the length of the base in the actual triangle is 6 inches and the length of the base in the scale drawing is 3 inches.
Therefore, the scale factor is 6/3 = 2.
To find the height of the scale drawing, we multiply the height of the actual triangle by the scale factor: 10 inches x 2 = 20 inches.
So, the height of her scale drawing is 20 inches.
Apologies for the mistake. I'll calculate the height of the scale drawing correctly this time.
The scale factor is found by dividing the length of the base in the actual triangle by the length of the base in the scale drawing.
The length of the base in the actual triangle is 6 inches, and the length of the base in the scale drawing is 3 inches.
Thus, the scale factor is 6/3 = 2.
To determine the height of the scale drawing, we need to multiply the height of the actual triangle by the scale factor.
The height of the actual triangle is 10 inches.
So the height of the scale drawing can be calculated as 10 inches multiplied by the scale factor 2, which gives us a height of 20 inches.