Class 10 Exam  >  Class 10 Questions  >  Two isosceles triangle have equal vertical an... Start Learning for Free
Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height
Verified Answer
Two isosceles triangle have equal vertical angles and their areas are ...
Let in Δ ABC with height as AD,
AB = AC
⇒ ∠B = ∠C = 180-∠A/2..Equation-1
And in Δ PQR with height as PS
PQ = PR
⇒ ∠Q = ∠R = 180-∠P/2. Equation- 2
Given vertical angles of the two triangles are equal.
i.e., ∠A = ∠P
and ∠B = ∠C = ∠Q = ∠R
By AAA similarity criterion,
We know ratio between the areas of two similar triangle is same as the ratio between the square of their corresponding altitudes.
And corresponding heights of two given triangles are AD and PS.
Area of Δ ABC/Area of Δ PQR = AD^2/PS^2
= 36^2/25^2 = AD^2/PS^2
AD : PS = 6 : 5 ( ratio of their corresponding heights).


This question is part of UPSC exam. View all Class 10 courses
Explore Courses for Class 10 exam

Top Courses for Class 10

Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height Related: Similar Figures and comparison with Congruent Figures - Triangles, CBSE, Class 10, Mathematics
Question Description
Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height Related: Similar Figures and comparison with Congruent Figures - Triangles, CBSE, Class 10, Mathematics for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height Related: Similar Figures and comparison with Congruent Figures - Triangles, CBSE, Class 10, Mathematics covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height Related: Similar Figures and comparison with Congruent Figures - Triangles, CBSE, Class 10, Mathematics.
Solutions for Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height Related: Similar Figures and comparison with Congruent Figures - Triangles, CBSE, Class 10, Mathematics in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height Related: Similar Figures and comparison with Congruent Figures - Triangles, CBSE, Class 10, Mathematics defined & explained in the simplest way possible. Besides giving the explanation of Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height Related: Similar Figures and comparison with Congruent Figures - Triangles, CBSE, Class 10, Mathematics, a detailed solution for Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height Related: Similar Figures and comparison with Congruent Figures - Triangles, CBSE, Class 10, Mathematics has been provided alongside types of Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height Related: Similar Figures and comparison with Congruent Figures - Triangles, CBSE, Class 10, Mathematics theory, EduRev gives you an ample number of questions to practice Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height Related: Similar Figures and comparison with Congruent Figures - Triangles, CBSE, Class 10, Mathematics tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev