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If a right triangle has hypotenuse c and legs a, b, then which relation is correct?

Class 10Pythagoras TheoremGeometry — Similarity

A $a^{2} + b^{2} = c^{2}$
B $a + b = c$
C $a^{2} - b^{2} = c^{2}$
D $a^{2} + b^{2} = 2 c^{2}$

Step-by-Step Solution

Pythagoras Theorem: the square on the hypotenuse equals the sum of the squares on the two legs,

a^{2} + b^{2} = c^{2}

.

Answer: A)

a^{2} + b^{2} = c^{2}

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