Question

Two isoceles ∆ABC and ∆PQR have equal vertical angles and their areas are in the ratio 9:16 Find the ratio of their corresponding heights ​

Answer 1

Answer:

3/4

Step-by-step explanation:

If two isosceles triangles have equal vertical angles then both triangles are similar.

So, △ABC∼△DEF

We know,

In similarity case

⇒Area of △ABCArea of △DEF

=(AB)2(DE)2 corresponding sides square

=(AM)2(DN)2 height

⇒916=(AM)2(DN)2

=916−−√= Ratio of their height

⇒ Ratio of height = 3 : 4