If the distance is given how will you find out if it is right angle triangle?

To determine if a triangle is a right angle triangle, you can use the Pythagorean theorem.

If the given distances are the lengths of the three sides of the triangle (a, b, and c), you can check if the triangle satisfies the Pythagorean theorem, which states that in a right angle triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

So, if a^2 + b^2 = c^2, then the triangle is a right angle triangle.

Pythagorean Theorem:

a² + b² = c²

where:

- a and b are the lengths of the two shorter sides (legs) of the right triangle
- c is the length of the hypotenuse (the longest side)

If the lengths of the three sides of a triangle satisfy the Pythagorean Theorem, then the triangle is a right triangle.

Steps:

1. Square the lengths of the two shorter sides:
- a² = (length of side a)²
- b² = (length of side b)²

2. Add the squares of the shorter sides:
- a² + b²

3. Check if the sum is equal to the square of the hypotenuse:
- a² + b² = c²

4. If the equation is true, then the triangle is a right triangle.