Math Doubts

Properties of Right Triangle

If you have knowledge on right triangle, then it is time to study the properties of right triangle clearly.

Basic Properties

There are two fundamental properties in a right triangle

Relation between angles

In a right triangle, one angle is 90 but other two angles are complementary angles and sum of them is also a right triangle.

Relation between sides

The great Greek mathematician Pythagoras identified that the square of hypotenuse is equal to sum of squares of opposite and adjacent sides in a right triangle. It is called as Pythagorean theorem.

$\large c^2 = a^2 + b^2$

Here, length of opposite side is $a$, length of adjacent side is $b$ and length of hypotenuse is $c$.

Properties for standard angles

There are some advanced notable properties for every standard angle. Here is the list of right angled triangle’s properties for all standard angles.

  1. Properties of Right triangle if angle is 0 degrees
  2. Properties of Right triangle if angle is 30 degrees
  3. Properties of Right triangle if angle is 45 degrees
  4. Properties of Right triangle if angle is 60 degrees
  5. Properties of Right triangle if angle is 90 degrees

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