Question

Construct a square with a diagonal of
length 10 cm.​

Answer 1

Answer:

Construct a square with a diagonal of

length 10 cm.

when we draw diagonal right angle triangle will form,so we have to apply Pythagoras theoram in that triangle.

\begin{gathered}( {hypotenuse)}^{2} = ({side)}^{2} + {(side)}^{2} \\ {h}^{2} = 2 {(side)}^{2} \\ {h}^{2} = 2 \times {10}^{2} \\ {h}^{2} = 200 \\ {h} = \sqrt{200} \\ h = 10 \sqrt{2} \end{gathered}

(hypotenuse)

2

=(side)

2

+(side)

2

h

2

=2(side)

2

h

2

=2×10

2

h

2

=200

h=

200

h=10

2

Diagonal of square is 10√2 cm.