Question

17

Part A
Consider the similar triangles below:
Q
B
12
6
4
А
С
7
R
P.
Find the scale factor?

Answer 1

`VW = 50`

Explanation:

Given

The attached triangle

Required

Find VW

To find VW, we make use of the following equivalent ratios.

`YX : XW = ZX : XV`

Where:

`YX = ZX - ZY = 42 - 28 = 14`

`XV = XW + VW = 25 + VW`

So, we have:

`14 : 25 = 42 : 25 + VW`

Express as fraction

`(14 )/( 25 )= (42 )/( 25 + VW)`

Divide both sides by 14

`(1)/( 25 )= (3)/( 25 + VW)`

Cross multiply

`(25 + VW) * 1 = 3 * 25`

`25 + VW = 75`

Solve for VW

`VW = 75 -25`

`VW = 50`