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Sides of triangles ratio and angles

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Source: — Problem Solving |
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by Ben.Miller@ApexGMAT » Thu Apr 25, 2013 2:44 pm
Your question makes perfect sense.

The short answer is NO. 3:4:5 and 5:12:13 triangles are always right triangles.

Here's why:

Any 3 sides can only be put together in one configuration to make a closed shape. This configuration produces a set of unique angles as well.

Reversing this, a set of 3 angles will always have the same sides.

This is the basis of trigonometry. While you can make the triangle bigger or smaller, the ratios between the sides ALWAYS stay the same.

Ben
Ben Miller
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