Question

this triangle is a scaled copy. it was scaled by a factor of 3. suppose you want to scale it back to its original size. what are the base and height of the original triangle? to scale back to the original, use a scale factor of $\frac{1}{3}$.

Explanation:

Step1: Recall the scaling - factor relationship

If a figure is scaled by a factor of $k$ to get a new figure, to get back to the original figure, we use a scale - factor of $\frac{1}{k}$. Here $k = 3$, so the scale - factor to get back to the original is $\frac{1}{3}$.

Step2: Calculate the base of the original triangle

The base of the scaled - copy is 9 cm. To find the base of the original triangle, we multiply the base of the scaled - copy by the scale - factor $\frac{1}{3}$. So, base of original triangle $=9\times\frac{1}{3}=3$ cm.

Step3: Calculate the height of the original triangle

The height of the scaled - copy is 24 cm. To find the height of the original triangle, we multiply the height of the scaled - copy by the scale - factor $\frac{1}{3}$. So, height of original triangle $=24\times\frac{1}{3}=8$ cm.

Answer:

Base: 3 cm
Height: 8 cm