Q. 25.0( 3 Votes )

The corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively. Find the ratio of their areas.

Answer :


Given: AM = 6cm and DN = 9cm


Here, ΔABC and ΔDEF are similar triangles


We know that, in similar triangles, corresponding angles are in the same ratio.


⇒∠A = D, B = E and C = F ……(i)


In ABM and DEN


B = E [from (i)]


and M = N [each 90°]


ABC ~ DEF [by AA similarity]


So, ……(ii)


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



[from (ii)]





Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Basic Proportionality Theorem42 mins
Champ Quiz | Thales Theorem49 mins
NCERT | Strong Your Basics of Triangles39 mins
RD Sharma | Imp. Qs From Triangles41 mins
R.D Sharma | Solve Exercise -4.2 and 4.3FREE Class
Quiz | Criterion of Similarity of Triangle45 mins
How to Ace Maths in NTSE 2020?36 mins
Know About Important Proofs in Triangles33 mins
R.D Sharma | Solve Exercise-4.545 mins
NCERT | Basic Proportionality Theorem22 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
view all courses