# In Figure, De || Bc If De = 4cm, Bc = 8 Cm and Area (δAde) = 25 Cm2, Find the Area of δAbc. - Mathematics

In Figure, DE || BC If DE = 4cm, BC = 8 cm and Area (ΔADE) = 25 cm2, find the area of ΔABC.

#### Solution

We have, DE || BC, DE = 4 cm, BC = 8 cm and area (ΔADE) = 25cm2

∠A = ∠A [Common]

Then, ΔADE ~ ΔABC [By AA similarity]

By area of similar triangle theorem

("Area"(triangleADE))/("Area"(triangleABC))="DE"^2/"BC"^2

rArr25/("Area"(triangleABC))=4^2/8^2

⇒ Area (ΔABC) = (25xx64)/16=100"cm"^2

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Exercise 7.6 | Q 8.2 | Page 95