Question

if two Triangles are equiangular prove that the ratio of corresponding altitudes are in the same ratio as the ratio of corresponding sides

Answer 1

Well the definition of ‘similar triangles’ IS all you need. “In geometry two triangles are similar if and only if corresponding angles are congruent and the lengths of corresponding sides are proportional. It can be shown that two triangles having congruent angles (equiangular triangles) are similar, that is, the corresponding sides can be proved to be proportional.” Similar Triangles There is NO need to prove what is DEFINITIONALY true. It is rather like proposing to prove that 2 + 2 = 4. There might be a problem if you are given’ ONLY TWO angles are congruent’, or something like that, but given ‘similarity’ MEANS that the sides MUST be proportional.

(i am not sure but i found this on google )

Hope that helps.