Question

the side of a square is 20 cm length of its diagonal is​

Answer 1

Answer:

This is your answer. Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm.

Answer 2

$\sf\huge\bold{Answer:}$

Given :

Side of square = 20cm

To find :

Length of diagonal

Solution :

We know that all sides of square are equal

• AB=BC=CD=DA=20cm

Now, it can be clearly seen that ∆ABC and ∆ADC form right angled triangles.

• In ∆ABC

$\fbox{By Pythagoras property }$

$\tt\red{ :⟶H²=B²+P²}$

$\tt\ :⟶AC²=AB²+BC²$

$\tt\ :⟶AC²=(20cm)²+(20cm)²$

$\tt\ :⟶AC²=400cm²+400cm²$

$\tt\ :⟶AC²=800cm²$

$\tt\ :⟶AC= \sqrt{800cm²}$

$\tt\ :⟶AC= \sqrt{2×2×2×10×10cm²}$

$\tt\ :⟶AC=2×10 \sqrt{2} cm$

$\tt\ :⟶AC=20 \sqrt{2} cm$

$\huge\mathcal {Length\:of\:diagonal\:is}$

$\huge\purple{20√2cm}$