Question

find the value of x. x = 26.5 x = 14 x = 273 15 12 8 x - 4

Explanation:

Step1: Assume the triangles are similar

If two triangles are similar, the ratios of their corresponding sides are equal. Let's assume the two given triangles are similar. Then we have the proportion $\frac{15}{x - 4}=\frac{12}{8}$.

Step2: Cross - multiply

Cross - multiplying the proportion gives us $12(x - 4)=15\times8$.

Step3: Expand the left - hand side

Expand $12(x - 4)$ to get $12x-48 = 120$.

Step4: Solve for x

Add 48 to both sides of the equation: $12x=120 + 48$, so $12x=168$. Then divide both sides by 12: $x=\frac{168}{12}=14$.

Answer:

$x = 14$