Question

Length of the diagonal of a square is 5cm.What is its area?​

Answer 1

Answer:

7.07cm

Step-by-step explanation:

A diagonal divides the square into two congruent right triangles, thus you can use the side of the square to the find the length of the diagonal (which would be the hypotenuse of the right angled triangle).

if the square has the side s cm then,

by using phythagorean theorem,

(diagonal) ^2=(side) ^2+ (side) ^2

which gives

diagonal= (side ) X sqrt(2)

here

side = 5cm therefore,

diagonal = 5× sqrt(2)

= 5×0.707

= 7.07cm