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A triangle is right angle triangle when one of its angles is a right angle (\(90°\)), and the other two are acute angles (less than \(90°\)).
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Example:
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In here, one among the angle is \(90°\), and the other two are acute. That is, \(∠A = 40°\), \(∠B = 50°\) and \(∠C = 90°\).
Terms used in right-angled triangle:
  • A right-angled triangle consists of two legs and a hypotenuse.
  • The side opposite to the right angle is called the hypotenuse.
  • The other two sides are known as the legs of the right-angled triangle.
  • The two legs meet at \(90°\) angle.
  • The hypotenuse is the longest side of the right triangle, and it is opposite to \(90°\).
Example:
Consider the following triangle.
 
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Here the sides '\(a\)' and '\(b\)' are legs, and the side '\(c\)' is the hypotenuse.