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Two isosceles triangle have equal vertical angles and their areas are in the ratio 16:35 .find the ratio of their corresponding height
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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).
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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
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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.
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.
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