Question
Crystal gets a piece of wood into the shape of a triangle The height of the triangle is 5 in and the base of the triangle measures 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
Answers
Answered by
GPT 3.5
To find the area of Crystal's scale drawing, we first need to calculate the scale factor of her drawing. Since the height of the actual triangle is 5 inches and the height of the scale drawing is 2 inches, the scale factor is 2/5 = 0.4.
Next, we need to find the corresponding base of the scale drawing by multiplying the base of the actual triangle by the scale factor:
8 inches * 0.4 = 3.2 inches
Now that we have the base and height of the scale drawing, we can calculate the area using the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 3.2 inches * 2 inches
Area = 3.2 square inches
Therefore, the area of Crystal's scale drawing of the triangle is 3.2 square inches.
Next, we need to find the corresponding base of the scale drawing by multiplying the base of the actual triangle by the scale factor:
8 inches * 0.4 = 3.2 inches
Now that we have the base and height of the scale drawing, we can calculate the area using the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 3.2 inches * 2 inches
Area = 3.2 square inches
Therefore, the area of Crystal's scale drawing of the triangle is 3.2 square inches.
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