Question

Triangle GHE is drawn below. What is the measure of y in the diagram? Om 6 m 2 meters O 3 meters 12 meters 6 meters O None of the above

Answer 1

Step 1: Note that the ratios of the corresponding sides of similar triangles are equal

Step 2: Find the measure of y

$\frac{y}{6}=\frac{4}{8}$$\begin{gathered} \text{ Cross-multiplying, we have} \\ y\text{ x 8 = 6 x 4} \\ 8y\text{ = 24} \\ \\ \text{Divide both sides by 8} \\ \\ y\text{ = 24/8 } \\ \\ y=3 \end{gathered}$

The measure of y is 3 meters