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Statement: In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
c² = a² + b²
FORMULA CHAPTER
Chapter 22 – Pythagoras Theorem
WBBSEClass 10Mathematics1 formulas
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Pythagoras Theorem
Statement: In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
c² = a² + b²
SymbolMeaningUnit
cHypotenusecm
aOne perpendicular sidecm
bOther perpendicular sidecm
Worked example
Question: A right-angled triangle has perpendicular sides of 6 cm and 8 cm. Find its hypotenuse.
Calculation: c² = a² + b²
⇒ c² = 6² + 8²
⇒ c² = 36 + 64
⇒ c² = 100
⇒ c = √100 = 10 cm
Answer: The hypotenuse is 10 cm.