Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
2.0k views
in Triangles by (55.4k points)
closed by

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

1 Answer

+1 vote
by (50.2k points)
selected by
 
Best answer

Given: DE || BC

DE = 4cm, BC = 8cm and area (ΔADE) =25 sq. cm

In ΔABC and ΔADE

∠B = ∠D [∵ DE || BC and AB is transversal, Corresponding angles are equal]

∠C = ∠E [∵ DE || BC and AC is transversal, Corresponding angles are equal]

∠BAC =∠DAE [common angle]

∴ ΔABC ~ΔADE [by AAA similarity]

Now, we know that, the ratio of two similar triangles is equal to the square of the ratio of their corresponding sides.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...