Question

Crystal cuz a piece of wood in the shape of a triangle the height of the triangle is 5 in and the base of the triangle measures 8 in she makes a scale drawing of the triangle if the base of her scale drawing is 4 in what is the height of her scale drawing

Answer 1

To find the height of Crystal's scale drawing, we can use the concept of similar triangles.

The original triangle has a height of 5in and a base of 8in. The ratio of the height to the base is 5:8.

In the scale drawing, the base is 4in. Let x be the height of the scale drawing. The ratio of the height to the base in the scale drawing is x:4.

Since the two triangles are similar, the ratios of their corresponding sides are equal. Therefore, we can set up the following proportion:

5/8 = x/4

Cross multiplying, we get:

8x = 4*5
8x = 20
x = 20/8
x = 2.5

Therefore, the height of Crystal's scale drawing is 2.5in.