# Calculate the sides? Thank you!!

May 7, 2017

$B E = 14.4 c m$

$A D = 32.5 c m$

#### Explanation:

You have to use the properties of similar triangles:

$\frac{A B}{A C} = \frac{B E}{C D} = \frac{A E}{A D}$

Hence, since $A B = 20 c m$ and $A C = 25 c m$, we have

$B E = \frac{A B \cdot C D}{A C} = \frac{20 \cdot 18}{25} = 14.4 c m$

$A D = \frac{A C \cdot A E}{A B} = \frac{25 \cdot 26}{20} = 32.5 c m$