Question

The actual length of c in the triangle shown is 15 cm. Use the scale drawing of the triangle to find the actual length of side a.

Answer 1

We can solve this problem by the rule of three:

1.5 cm---------------15 cm
1.2 cm--------------- x

x=(1.2 cm*15 cm) / 1.5 cm=12 cm.

answer. a=12 cm.

Answer 2

Answer: 9.375 cm

Explanation:

From the given picture, it can be seen that the measure of side 'c' in triangle = 1.92 cm

The actual length of 'c' in the triangle = 15 cm.

The scale factor =
`k=\frac{\text{ actual length of c}}{\text{length of c in figure}}`

`k=(15)/(1.92)=7.8125`

Now, the length of side 'a' = 1.2 cm

The actual length of side 'a'
`k*1.2=7.8125*1.2=9.375\text{ cm}`