Question

consider the original triangle and the enlargement. 2 cm 3 cm 8 cm a figures not drawn to scale. what is the length of side a in centimeters? 3 4 12 24

Explanation:

Step1: Determine the scale factor

The original triangle has a height of 2 cm, and the enlarged triangle has a height of 8 cm. The scale factor \( k \) is calculated as \( k=\frac{8}{2} = 4 \).

Step2: Calculate the length of side A

The original triangle has a base of 3 cm. To find the length of side A (the base of the enlarged triangle), we multiply the original base by the scale factor. So, \( A = 3\times4=12 \) cm.

Answer:

12