Question

a right triangle has legs with side lengths 21 and 15. create a scale drawing of the triangle using a scale factor of \\(\frac{1}{3}\\). start at point \\((0, 0)\\). with the polygon tool selected, plot the vertices in order ending back at the first vertex.

Explanation:

Step1: Calculate scaled leg lengths

To find the scaled lengths, multiply each leg length by the scale factor $\frac{1}{3}$. For the leg of length 21: $21\times\frac{1}{3} = 7$. For the leg of length 15: $15\times\frac{1}{3}=5$.

Step2: Determine vertices

Start at $(0, 0)$. The right angle is here. The next vertex (along the x - axis, since one leg is horizontal in the original) will be at $(5, 0)$ (since the scaled horizontal leg is 5 units long). The third vertex (along the y - axis from the origin) will be at $(0, 7)$ (since the scaled vertical leg is 7 units long). Then connect back to $(0, 0)$ to form the triangle.

Answer:

The vertices of the scaled right triangle are at $(0, 0)$, $(5, 0)$, and $(0, 7)$. When plotting with the polygon tool, plot these points in order and then connect back to the first vertex.