Question

the area of square is 32 inches. find the length of diagonal
a. 16
b. 8
c. 4
d. 2​

Answer 1

Answer:

8 inche

Step-by-step explanation:

Let the length of side be 'a'.

Area of square = side^2. Here,

= > a^2 = 32

Using Pythagoras theorem:

= > side² + side² = diagonal²

= > a^2 + a^2 = diagonal^2

= > 2a^2 = diagonal^2

= > 2(32) = 64 = diagonal² {a²=32}

= > √64 = diagonal

= > 8 = diagonal