Question

tirangle abc similar to triangle def such that area of triangle abc = 36cmsquare and area of triangle def = 49cmsquare then find the ratio of their corresponding sides

Answer 1

Answer:

6 : 7

Step-by-step explanation:

ar(abc) / ar(def) = (ab/de)^2

36 / 49 = (ab/de)^2

√36/49 = ab/de

6/7 = ab/de

Answer 2

The areas of two similar triangles are in the ratio of the squares of the corresponding altitudes.

Let first triangle altitude be x then second one's is x+10

so, Area of first triangle/area of second triangle=altitude of first triangle/altitude of second triangle

so, 49/64=(x/x+10)²

so, (7/8)²=(x/x+10)²

so, 7/8=x/x+10

so, 7(x+10)=8x

so, 7x+70=8x

so, 7x-8x=-70

so, x=70

So, first triangle's altitude is 70 cm

And, the second one's is 80 cm