Question

If two triangles are similar then prove that the ratio between the sides is equal to the ratio between corredponding altitude.

Answer 1

we know that there  is a theorem according to which the areas of two similar triangles are proportional to the squares of their corresponding sides.
there is another theorem that states that areas of two similar triangles are proportional to the squares of their corresponding altitudes.if we combine both the theorems we get the answer to your question .
if u want to know how to prove the above 2 theorems ,you may refer to page 227 of concise maths book of class 10.
by the way such a proving never comes in the boards .hope i was able to help you .if any suggestions , do tell.