Question

question 4
scot wants to enlarge a triangle that has sides 4, 5 and 8. the smallest side of the new triangle is 9. what are the lengths of the other sides of the triangle?
11.25, 18
9.5, 2.2
2.2, 11.25
3.2, 18
question 5

Explanation:

Step1: Find the scale factor

The original smallest side is \(4\), and the new smallest side is \(9\). The scale factor \(k=\frac{9}{4} = 2.25\).

Step2: Calculate the other sides

For the side of length \(5\) in the original triangle, the new length is \(5\times k=5\times2.25 = 11.25\).
For the side of length \(8\) in the original triangle, the new length is \(8\times k=8\times2.25=18\).

Answer:

A. \(11.25,18\)