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Calculate the sides? Thank you!!

1 Answer

May 7, 2017

$B E = 14.4 c m$ $BE=14.4cm$

$A D = 32.5 c m$ $AD=32.5cm$

Explanation:

You have to use the properties of similar triangles:

$\frac{A B}{A C} = \frac{B E}{C D} = \frac{A E}{A D}$ ${AB}/{AC}={BE}/{CD}={AE}/{AD}$

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

$B E = \frac{A B \cdot C D}{A C} = \frac{20 \cdot 18}{25} = 14.4 c m$ $BE=[AB*CD}/{AC}={20*18}/25=14.4cm$

$A D = \frac{A C \cdot A E}{A B} = \frac{25 \cdot 26}{20} = 32.5 c m$ $AD=[AC*AE}/{AB}={25*26}/20=32.5cm$

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