SOLUTION: The lengths of the sides of a triangle are 9, 15, and 18. What are the lengths of the sides of a similar triangle with area 1/9 that of the given triangle?

Algebra ->  Triangles -> SOLUTION: The lengths of the sides of a triangle are 9, 15, and 18. What are the lengths of the sides of a similar triangle with area 1/9 that of the given triangle?      Log On


   

Question 251663: The lengths of the sides of a triangle are 9, 15, and 18. What are the lengths of the sides of a similar triangle with area 1/9 that of the given triangle?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
1, 15/9, 2 are the sides of the similar triangle.
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Ed
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Solved by pluggable solver: Find the area of triangle if 3 sides are given
In any triangle, If the side lengths are known then the area of the triangle can be
calculated by the Heron's FormulaHeron's Formula.

A+=+sqrt%28S%2A%28S-S1%29%2A%28S-S2%29%2A%28S-S3%29%29
Where S+=+%28S1%2BS2%2BS3%29%2F2+ is the semi perimeter, or half of the triangle's perimeter.

equivalent Heron's Formula is:
A=+sqrt%28%28s1%2Bs2%2Bs3%29%2A%28s1%2Bs2-s3%29%2A%28s2%2Bs3-s1%29%2A%28s1%2Bs3-s2%29%29%2F4

In our case the desired value is:
S+=+1%2F2%2A%281%2B2%2B1.66666667%29+=+2.333333335


So, the answer is that the Area of the Triangle with given parameter is 0.831479421139079 .


For more on this topic, refer to Triangle