SOLUTION: what is the ratio of corresponding sides of two similar triangles whos areas are 36 square inches and 144 square inches?

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Question 936350: what is the ratio of corresponding sides of two similar triangles whos areas are 36 square inches and 144 square inches?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
h and b for height and base.
Small Triangle, %281%2F2%29bh=36 for area.
Big Triangle, %281%2F2%29bk%2Ahk=144 for area.

The factor k was used because, the side lengths between the two triangles are in proportion; as given, these are SIMILAR triangles.

system%28bh=72%2Cbhk%5E2=288%29

72k%5E2=288

k%5E2=288%2F72

highlight%28k=2%29

The ratio of their sides is 1:2, small:large.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

what is the ratio of corresponding sides of two similar triangles whos areas are 36 square inches and 144 square inches?


Ratio of the sides of two similar triangles will be the SQUARE ROOT of the ratio of the areas of the triangles.

Thus, 36%2F144 becomes: %28sqrt%2836%29%29%2Fsqrt%28144%29, or 6%2F12, or 1%2F2, or highlight_green%281%3A2%29