The two triangles are similar.What is the value of x?Enter your answer in the box.x = 5
Accepted Solution
A:
Given that the triangles are similar. When triangles are similar, all three pairs of corresponding sides are in the same ratio.Similarly in the given triangles, the ratio of the corresponding sides are equal.[tex] \frac{8}{2x-2}= \frac{8+6}{3x} [/tex][tex] \frac{8}{2x-2}= \frac{14}{3x} [/tex]Cross multiplying, we get[tex] 8 \times 3x = 14 \times (2x-2) [/tex][tex] 24x = 28x-28 [/tex][tex] -4x = -28 [/tex]Dividing both sides of the equation by -4.So, we getx = 7.