crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base of the triangle measures 8 inches. Crystal makes a scale drawing of the triangle. If the height of her scale drawing is 2 inches, what is the area of her scale drawing? all sides; 5in and 8in (1 point)
To find the area of Crystal's scale drawing, we need to first determine the scale factor used to create the scale drawing.
The scale factor can be calculated by dividing the height of the scale drawing by the actual height of the triangle. In this case, the height of the scale drawing is 2 inches and the actual height of the triangle is 5 inches.
Scale factor = 2 inches / 5 inches = 0.4
Now that we have the scale factor, we can use it to determine the base of the scale drawing:
Base of scale drawing = 8 inches x 0.4 = 3.2 inches
Now we can calculate the area of Crystal's scale drawing using the height and base we found:
Area = (base x height) / 2
Area = (3.2 inches x 2 inches) / 2
Area = 6.4 square inches
Therefore, the area of Crystal's scale drawing is 6.4 square inches.