Question

If the diagonal of a square is √5cm.Find its area :

A )2.5cm²
B )12.5cm²
C )10.5cm²
D )10cm²

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Answer 1

Answer:

12.5

Step-by-step explanation:

A 1/2dsquare =1/2*√5 =12.5cm square

Answer 2

Answer:

A) 2.5 cm^2

Step-by-step explanation:

let the side of the square be 'x'

Given , the diagonal of the square = ✓5 cm.

Since a diagonal of a square divides it into two congruent right triangles, So according to Pythagoras theorem we get,

$x {}^{2} + x {}^{2} = ( \sqrt{5} ) {}^{2}$

$= > 2x {}^{2} = 5$

$= > x {}^{2} = \frac{5}{2}$

$= > x {}^{2} = 2.5$

Hence the area of the square is =2.5 cm^2