Answer:

AE=11.25

step by step explanation:

according to figure

DE||BC

AD=10CM

AB=24CM

SO BD=AB-AD=24-10=14CM

SIMILARLY FOR SIDE AC

EC=AC-AE

AC=27CM BUT ONLY AC IS GIVEN SO BY USING PROPERTY WE CAN WRITE...

AD/AB=AE/AC

10/24=AE/27

AE=11.25

Verified answer

Step-by-step explanation:

In triangle ABC DE||BC

SO AB/AD=AC/AE[converse of BPT theorem]

therefore 24/10=27/AE

24AE=27×10

AE=270/24

ANS= AE=11.25cm