What is pythogarus theorem
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Step-by-Step Solution
Step 1: Define Pythagoras Theorem
The Pythagoras Theorem is a fundamental relation in Euclidean geometry among the three sides of a right-angled triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Step 2: Identify Sides of a Right Triangle
In a right-angled triangle, the side opposite the right angle is called the hypotenuse, which is the longest side. The other two sides are called the perpendicular and the base, often denoted as a and b respectively.
Step 3: State the Theorem Formally
Formally, the theorem can be stated as: in any right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. If the sides are a and b, and the hypotenuse is c, then a2+b2=c2.