Crystal cuts a piece of wood into a shape of a triangle the height of the triangle is 5 in and the base of the triangle is 8 in Crystal makes a scale drawing of the triangle if the height of her scale drawing is 2 in what is the area of her scale drawing

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

To find the area of the scale drawing, we need to calculate the scale factor first. The scale factor is the ratio of the height of the actual triangle to the height of the scale drawing.

Scale factor = Actual height / Scale drawing height
Scale factor = 5 in / 2 in
Scale factor = 2.5

Next, we need to apply the scale factor to the base of the triangle to find the base of the scale drawing.

Base of scale drawing = Actual base / Scale factor
Base of scale drawing = 8 in / 2.5
Base of scale drawing = 3.2 in

Now we can calculate the area of the scale drawing using the height and base we found:

Area of the scale drawing = (1/2) x height x base
Area of the scale drawing = (1/2) x 2 in x 3.2 in
Area of the scale drawing = 3.2 inΒ²

Therefore, the area of Crystal's scale drawing of the triangle is 3.2 square inches.

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