In a triangle ABC, DE is parallel to BC. If AB = 7.2 cm; AC = 9 cm; and AD = 1.8 cm; Find AE."

Given: In a triangle ABC, DE is parallel to BC.

AB = 7.2 cm;   AC = 9 cm; and AD = 1.8 cm

To find: The length of AE

Answer

Given triangle ABC

DE is parallel to BC

AB = 7.2 cm;   AC = 9 cm; AD = 1.8 cm;  AE = ?

By Basic proportionality theorem corollary

$\frac{AD}{AB} = \frac{AE}{AC}$

So $AE =  \frac{AD}{AB} \times AC$ = $\frac{1.8}{7.2} \times 9 $= 2.25$ cm Answer

 AE = 2.25 cm

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Updated on: 10-Oct-2022

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