The diagonal of a square is 10 cm- Its area is-A- 20 cm 2B- 25 cm 2C- 100 cm 2D- 50 cm 2

The correct option is D 50 cm2Diagonal using Pythagoras Theorem: a2 + a2 = 102 2a2 = 100 a2 = 100/2 a2=50 a=7.07 cm (where a is the length of the sides of the ...

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Standard IX

Mathematics

Geometric Estimation Value of Square Root

The diagonal ...

Question

The diagonal of a square is 10 cm. Its area is:

20 cm²

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50 cm²

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25 cm²

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100 cm²

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Solution

The correct option is B
50 cm²

Diagonal using Pythagoras Theorem:

a²+ a² = 10² 2a²= 100 a² = 100/2

a²=50 a=7.07 cm (where a is the length of the sides of the square.) Area = 7.07² = 50 cm²

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Two lines are drawn parallel to the diagonal of a square as shown in the first figure. Another set of parallel lines are drawn along the second diagonal to form a larger square of the area $100 c m^{2}$ as shown in the second figure, then find the area of the original square.