Right triangle has any one of its angles equal to 90°. In a right triangle, the side opposite to the 90° angle is known as the ‘hypotenuse’ and it is the longest side of the triangle. The remaining two sides of the triangle are known as the ‘legs’ of the right triangle. The right triangle calculator is the online tool which can instantly perform calculations based on right triangles.
Example 1:Triangle ABC has side lengths, AB = 6m, BC = 8m and AC = 10m. Is triangle ABC a right triangle?
To prove a given triangle as a right triangle, we can confirm it with the help of the Pythagorean Theorem.
If ABC is a right triangle, then the longest side AC will be the hypotenuse.
According to the theorem: AB2 + BC2= (Hypotenuse, AC)2.
AB2+ AC2= 62 + 82= 36+ 64= 100.
Similarly, AC2= 102= 100.
Hence it is proved that, AB2 + BC2 = AC2, therefore ABC is a right triangle!
Example 2: PQR is an isosceles right triangle. What is the measure of each angle of the triangle PQR?
An isosceles right triangle has the legs of the triangle equal to each other and the angles opposite to the equal sides are equal to each other.
Let the equal angles be= x° and one of the angle is = 90°
Sum of angles in a triangle= 180°==> x°+ x°+ 90°= 180°.
This gives: 2x°=180°= 90°==> 2x°= 90°.
This implies: x°= 90°/2= 45°.
So the angles in triangle PQR are 45°, 45° and 90°.