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A square is drawn on the diagonal of a 5 cm × 5 cm square, as shown. What is the area of this new square?

Class 8Pythagoras TheoremGeometry

A $100 cm^{2}$
B $25 cm^{2}$
C $10 cm^{2}$
D $50 cm^{2}$

Step-by-Step Solution

Diagona

l^{2} = 5^{2} + 5^{2} = 50

. The area of a square on the diagonal is the diagona

l^{2}

, so

50 cm^{2}

, double the first square.

Answer: D)

50 cm^{2}

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