Question

a triangle of base 6 cm is enlarged to have a base of 9 cm. find the scale factor. 1.5 1.6 1.4 1.8

Explanation:

Step1: Recall scale factor formula

The scale factor \( k \) for enlargement is given by the ratio of the new length to the original length. So, \( k=\frac{\text{New Base}}{\text{Original Base}} \).

Step2: Substitute the values

Original base \( = 6 \) cm, New base \( = 9 \) cm. Substitute into the formula: \( k = \frac{9}{6} \).

Step3: Simplify the fraction

Simplify \( \frac{9}{6} \) by dividing numerator and denominator by their greatest common divisor (3). \( \frac{9\div3}{6\div3}=\frac{3}{2} = 1.5 \).

Answer:

1.5