SOLUTION: Two similar triangles have perimeters of 18cm and 30 cm. Find the ratio of their areas.
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Question 452360: Two similar triangles have perimeters of 18cm and 30 cm. Find the ratio of their areas.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two similar triangles have perimeters of 18cm and 30 cm.
Find the ratio of their areas.
:
Use two equilateral triangles
:
Triangle 1, 6 cm on each side
find the height
h =
h =
h =
Find area 1
A = .5**6
A =
A = sq/cm
:
Triangle 2, 10 cm on each side
find the height
h =
h =
h =
Find area 2
A = .5**10
A =
A = sq/cm
:
:
Find ratio of the two areas
= the area ratio: 9:25 ~ .36
:
:
Interesting to note
= .6 for the perimeters and .36 for the areas; .6^2 = .36
The square of the perimeter ratio = the area ratio
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