For a right angled triangle, sum of squares of two sides of a triangle equals square of the third side.
For example -
In triangle ABC,
AB2 + BC2 = AC2
Chat with our AI personalities
Given a right triangle, the hypotenuse is the longest side or simply the side opposite the 90o angle.
Yes, the triangle is right-angled because 322 + 602 = 682. Given all three side lengths, you can use the Pythagorean relationship to determine whether a triangle is or is not right-angled. The right angle would be opposite the hypotenuse, 68.
If the lengths of the sides of the triangle can be substituted for 'a', 'b', and 'c'in the equationa2 + b2 = c2and maintain the equality, then the lengths of the sides are a Pythagorean triple, and the triangle is a right one.
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
It could be a right triangle if it has a right angle (90 degrees). If it does not have a right angle, then it is an acute triangle.