Question

In given figures the two triangles are similar $\Delta ABC\sim \Delta DEF$ if ED=7 find the length of $AC$.

• A. 2
• B. 14
• C. 7
• D. 21

Answer 1

The correct option is C 7

As the two triangles are similar, corresponding angles are congruent and corresponding sides are proportional.

So, the length of $AC=x$

The length of $ED=7$ ......[given]

The corresponding sides are proportional $=$ $\frac{AC}{ED}$ $=\frac{AC}{7}$

$\therefore AC=7$