Q1
If a triangle's sides satisfy a²+b²=c², the triangle is:
Aright-angled
Bequilateral
Cisosceles only
Dobtuse
CBSEClass 10 (CBSE)MathematicsCh 6 · Topic 2
Pythagoras Theorem and Its Converse
Learning the Pythagoras theorem and how its converse identifies right triangles.
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This converse is a powerful tool for verifying whether a triangle is right-angled using only its side lengths, without needing to measure any angles directly — a technique used practically in construction to check if a structure's corner is a true 90°. For example, checking a triangle with sides 6, 8, 10: since 6²+8²=36+64=100=10², the relationship holds, confirming this is indeed a right triangle with the right angle opposite the side of length 10.
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CBSE class 10 pythagoras theorem and its converse
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• Pythagoras theorem: a²+b²=c² for a right triangle (c = hypotenuse).
• Converse: if a²+b²=c² holds for a triangle's sides, the triangle must be right-angled.
• The right angle is located opposite the longest side (c) in a verified right triangle.
• This converse is used practically to check for right angles without measuring angles directly.