Two isosceles triangles have equal vertical angles and their corresponding sides are in the ratio 3 : 5. What… · ABC26GN4497
Subject: General Aptitude · Chapter: Area
Two isosceles triangles have equal vertical angles and their corresponding sides are in the ratio 3 : 5. What is the ratio of their areas?
(a)3 : 5
(b)6 : 10
(c)9 : 25
(d)None of these
Answer
Answer (as printed): C
Explanation
Since vertical angles are equal and corresponding sides are proportional, the two triangles are similar. So, the ratio of their areas is equal to the ratio of the squares of their corresponding sides. ∴ Ratio of their areas $=\frac{(3 x)^{2}}{(4 x)^{2}}=\frac{9}{25}=9: 25$.
Explanation as extracted from the printed page; notation may be imperfect.