Question

А b
15cm.
Bd
6cm

find the
Ared of o ABC DE .​

Answer 1

Answer:

✬ AE = 15 cm ✬

Step-by-step explanation:

Given:

In ∆ABC , DE is parallel to BC.

AB = 15 cm , BD = 6 cm , AC = 25 cm

To Find:

What is the meaure of AE ?

Solution: Since, DE || BC so by Thales'Theorem,

AD/DB = AE/EC

➬ AD = (AB – BD)

➬ AD = (15 – 6) = 9 cm

Let AE be x cm so EC will be (25 –x) cm.

Now, Putting values on theorem

AD/DB = AE/EC

9/6 = x/25 – x

9(25 – x) = 6x

225 – 9x = 6x

225 = 6x + 9x

225 = 15x

15 = x = AE

Hence, meaure of AE is x = 15 cm.a