Question

Find the length of side of a square whose diagonal is 10 cm.​

Answer 1

Answer:

Given the length square of diagonal is 10 cm

Then area of square=A=

2

(d)

2

=

2

(10)

2

=

2

100

=50cm

2

Answer 2

Since we're dealing with a square, all side lengths measure the same thing. Furthermore, the angle B and D are right, therefore allowing us to use pythagorean theorem to find the value of a.

${a}^{2} + {b}^{2} = {c}^{2}$

Where a and b are the right containing sides

Since a and b are equal,we consider them as a

c is the Hypotenuse of the right-triangle

The diagonal is the Hypotenuse c

$\rightarrow {a}^{2} + {a}^{2} = {10}^{2}$

$\rightarrow {2a}^{2} = 100$

$\rightarrow {a}^{2} = 50$

$\rightarrow a = \sqrt{50}$

$\Rightarrow a = \sqrt{25.2} = 5 \sqrt{2}$

So, the side lengths measure 5√2 or 7.07 units each.