Question

fine diagonal of a square, If side given of a square 4cm​

Answer 1

Answer:

diagonal of a square could be find out by the Pythagoras theorem

4²+4²= diagonal ²

16+16= diagonal²

√32= diagonal

therefore diagonal of given square is 4√2 cm

ALTERNATIVE METHOD:

the FORMULA for finding diagonal of square is side√2

therefore diagonal= 4√2cm

hope it helped you!!

HAVE A NICE DAY

Answer 2

Answer:

4√2cm

Step-by-step explanation:

In a square,all the sides are equal and each angle equals 90 degrees.

This means AD = AB= BC = CD= 4cm

AND ANGLE 1 = ANGLE 2 = ANGLE 3 = ANGLE 4 = 90°

Here diagonal is AC,

In triangle ADC,

By pythagoras theorem,

$ac {}^{2} = ad {}^{2} + dc {}^{2} \\ ac { }^{2} = 4 {}^{2} + 4 {}^{2} \\ a {c}^{2} = 16 + 16 \\ ac {}^{2} = 32 \\ ac = 4 \sqrt{2} \: cm$

There the diagonal of square measures 4√2cm.