Question

The diagonal of a square is 4cm. find it area

Answer 1

hope it helps...........

Answer 2

Answer:

8cm/sq

Step-by-step explanation:

ABCD IS A SQUARE

AC IS DIAGONAL=4CM

IN TRIANGLE ACD,

ANGLE D=90DEGREE

THEREFORE ITS A RIGHT ANGLED TRIANGLE

${ad }^{2} + {dc}^{2} = {ac}^{2}$ PYTHAGORAS THEOREM

NOW,. AD = DC. (ALL SIDES OF SQUARE ARE EQUAL)

ADsquare + DCsquare = 4square. (AS: AC=4)

2ADsquare=16

ADsquare=16/2

ADsquare=8

AD=√8

ALL SIDES OF SQUARE =√8

AREA OF SQUARE = SIDE×SIDE

=√8×√8

= 8cm/sq