Question

what are the base and height of the original triangle? to scale back to the original, use a scale factor of $\frac{1}{6}$.

Explanation:

Step1: Recall the scale - factor formula

To find the original dimension from a scaled - copy, we use the formula: Original dimension = Scaled - copy dimension×Scale factor. The scale factor is $\frac{1}{6}$.

Step2: Calculate the original base

The scaled - copy base is 36 cm. Using the formula, the original base $b$ is $b = 36\times\frac{1}{6}=6$ cm.

Step3: Calculate the original height

The scaled - copy height is 96 cm. Using the formula, the original height $h$ is $h = 96\times\frac{1}{6}=16$ cm.

Answer:

Base: 6 cm, Height: 16 cm