Geometry Puzzle – Challenge 62

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Geometry Puzzle – Challenge 62


The ratio of three sides of a triangle is 1:2:3. What is the smallest angle?

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The correct answer is 30 degree.

There is the same ratio for the angels. Therefore, the ratio of three angles of the triangle is also 1:2:3.
Let X be the smallest angle. Then, the next two angels are 2X and 3X.
X + 2X + 3X = 180 → 6X = 180 → X = 30
The smallest angel is 30 degree.

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