Question

find the value of x
19.5
18
x
24
a 26
c 36
b 23
d 28
18
a
b
c
d

Explanation:

Step1: Use the basic proportionality theorem (Thales' theorem)

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. So, \(\frac{19.5}{x}=\frac{18}{24}\)

Step2: Cross - multiply

Cross - multiplying gives \(18x = 19.5\times24\)

Step3: Solve for \(x\)

First, calculate \(19.5\times24=468\). Then, \(x=\frac{468}{18}\)
\(x = 26\)

Answer:

A. 26