Question

If each side of a square measure 15units the mesuare of its diagonal is .a 15√2units b 225√2units c 60units d 450units

Answer 1

Answer:

5√18 units

Step-by-step explanation:

Let, the square be ABCD and the diagonal be AC.

measure of each side of the square= 15 units

Therefore, by Pythagoras theorem of triangle ABC

AC^2 = AB^2+BC^2

=> AC^2 = (15 units)^2+(15 units)^2

=> AC^2 = 225 units^2 + 225 units^2

=> AC^2 = 450 units^2

=> AC = √450 units^2

=> AC = √2×5×5×9 units

=> AC = 5√18 units

THE ANSWER IS 5√18 units. BUT NEITHER OF THE OPTIONS GIVEN ABOVE ARE CORRECT. SO IT SHOULD BE NONE OF THESE.

HOPE THIS ANSWER HELPS YOU!!!