To find the area of the scale drawing, we need to calculate the scale factor first. The height of the scale drawing is 2 in, the corresponding height of the original triangle is 9 in. Therefore, the scale factor is:
Scale factor = 2 in / 9 in = 2/9
Now, the base of the original triangle is 4 in. To find the base of the scale drawing, we multiply the scale factor by the original base:
Base of the scale drawing = 4 in * (2/9) = 8/9 in
Now that we have the height and base of the scale drawing, we can calculate the area:
Area = (1/2) * base * height
Area = (1/2) * (8/9) * 2
Area = 8/9 in
Therefore, the area of the scale drawing is 8/9 square inches.
a scale drawing of the triangle below is made. The height if the scale drawing is 2 in .what is the area of the scale drawing
9 in and 4 in
1 answer