Pythagoras Theorem and Its Converse from "summary" of NCERT Class 10 Mathematics Solutions by JagranJosh
Pythagoras Theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In simpler terms, if we have a right-angled triangle with sides a, b, and c (where c is the hypotenuse), then a² + b² = c². This theorem is widely used in geometry to find the length of a side in a right-angled triangle if the other two sides are known.
The converse of Pythagoras Theorem is also true, which means that if the square of the longest side in a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right-angled triangle. In other words, if a² + b² = c², then the triangle with sides a, b, and c is a right-angled triangle. This converse theorem helps in determining whether a given triangle is a right-angled triangle or not...
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