Advertisement Remove all ads

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.

Advertisement Remove all ads

Solution

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

In ΔADE and ΔABC

∠A = ∠A [Common]

∠ADE = ∠ABC [Corresponding angles]

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`

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Exercise 7.6 | Q 8.2 | Page 95
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×