Question

what is the value of x in the diagram below? a. 8 b. 9 c. 6 d. 7

Explanation:

Step1: Set up proportion

Since the two right - angled triangles are similar, the ratios of their corresponding sides are equal. So, we have the proportion $\frac{49}{x}=\frac{14}{2}$.

Step2: Cross - multiply

Cross - multiplying gives us $14x = 49\times2$.

Step3: Simplify right side

$49\times2=98$, so the equation becomes $14x = 98$.

Step4: Solve for x

Dividing both sides of the equation by 14, we get $x=\frac{98}{14}=7$.

Answer:

D. 7