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Because, thanks to Pythagoras, the three sides are linked by an equation. Thus the measure of the third side can always be derived from the knowledge of the other two.

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Q: Why can you use any two sides of a right angle to find the third side?
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Related questions

How do you find the third side of a triangle when two sides and angle are known?

Depends on the Triangle. Right triangles with a 90 degree angle: http://en.wikipedia.org/wiki/Pythagorean_theorem


How do you find the missing length of a right angle triangle?

You use the law of Pythagoras: a2 + b2 = c2, where a and be are the sides adjacent to the right angle, and c is the side opposite. Replace the two sides that you know, and solve for the third one. Pythagoras: hypotenuse squared = sum of squares of other two sides. If you know two of the sides you can calculate the third as above.


How do you fine the missing side of a right angle only given one side?

You need either two sides given, to find a third side. Or > you need one side and an angle, to find another side.


How do you use sine cosine and tangent?

They are used to find the angle or side measurement of a right triangle. For example, if 2 sides of a right triangle have known values and an angle has a known measurement, you can find the third side by using sine, cosine or tangent.


What is given two sides and the included angle?

The cosine rule which is: a2 = b2+c2-2*b*c*cosine A This is used to find the third side of a triangle when the two other sides are known along with the angle between them. Used when the triangle is not a right angle.


How do you use the altitude to find the length of a right angle?

If 2 sides are known then use Pythagoras' theorem to find the 3rd side of a right angle triangle.


How Pythagorean theorem is used?

If two sides of a triangle with a right angle are known, the Pythagorean Theorem can help you find the third one. It can also be used to verify whether a certain triangle is, indeed, a right triangle (if the three sides are known).


How do you find perimeter of a right angle triangle?

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If three sides of triangle are 8cm 6cm 10cm Then find largest angle?

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How can you find perimeter of a rectangle?

Find the total length of two adjoining sides (two sides which form a right angle) and multiply by two.


How do you find the lengths of the sides of a triangle where one angle equals 90 degrees?

If you know the lengths of two sides then use Pythagoras' theorem to find the third side.