Q. 225.0( 2 Votes )

In the given figure, AB BC, GF BC and DE AC. Prove that ΔADE ~ Δ GCF.


Answer :

Given:


AB BC


GFBC


DE AC


Since AB BC so DAE & GCF are complementary angles i.e.


DAE + GCF = 900 ….Equation 1


Similarly since GFBC so CFG & GCF are complementary angles i.e.


CGF + GCF = 900 ….Equation 2


Combining Equation 1 & 2 We can say that


CGF = DAE


Also CFG = DEA (Perpendicular Angles)


So ΔCGF is similar to ΔADE By A.A. (Angle Angle)axiom of similarity


Hence Proved


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
NCERT | Polynomials-INCERT | Polynomials-INCERT | Polynomials-I42 mins
Reduction and Oxidation Reactions-IReduction and Oxidation Reactions-IReduction and Oxidation Reactions-I57 mins
NCERT | Nationalism in India-INCERT | Nationalism in India-INCERT | Nationalism in India-I52 mins
NCERT | Glimpse into the Political World in India -INCERT | Glimpse into the Political World in India -INCERT | Glimpse into the Political World in India -I56 mins
How Long Should I Study in a Day??How Long Should I Study in a Day??How Long Should I Study in a Day??26 mins
How to Crack the NTSE Stage I in 4 months?How to Crack the NTSE Stage I in 4 months?How to Crack the NTSE Stage I in 4 months?41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses