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in Pythagoras Theorem by (46.9k points)

Draw right-angled triangles with the lengths of hypotenuse and one side as shown in the rough figures below. Measure the third side. Verify the Pythagoras’ theorem.

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1 Answer

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by (47.6k points)

i. From the figure, by measurement, 

l(AB) = 4 cm 

Now, in right-angled triangle ABC, 

l(AB)+ l(BC)= (4)+ (3)

= 16 + 9 

∴ l(AB)+ l(BC)= 25 …. (i) 

l(AC)= (5)= 25 ….(ii) 

∴ From (i) and (ii), 

l(AC)= l(AB)+ l(BC)

∴ Pythagoras’ theorem is verified

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