Question

δabc ~ δxyz
a
14.4
b
y
5
z
x
12
13
c
x
y
14.4/12 = 1.2

Explanation:

Step1: Use similarity ratio

Since \(\triangle ABC\sim\triangle XYZ\), the ratio of corresponding sides is equal. Given \(\frac{AB}{XY}=\frac{14.4}{12} = 1.2\).

Step2: Find \(x\)

\(x\) corresponds to \(XZ\). So \(x=1.2\times5\).

$$x = 6$$

Step3: Find \(y\)

\(y\) corresponds to \(XZ\). So \(y=1.2\times13\).

$$y = 15.6$$

Answer:

\(x = 6\), \(y=15.6\)