Question

Report the approximate value of $\sqrt{3}$ with the help of the attached figure below

• A. 1.7

Answer 1

The correct option is A 1.7
Make a square of side of 1 unit. Calculated the diagonal OB as $\sqrt{2}$ using Pythagorean Theorem. Once OB is calculated, we try to find value of $\sqrt{3}$. So, we will make a right angle triangle taking base as OB, perpendicular length BD 1 unit. Now, we will find OD which will give you $\sqrt{3}$

Considering right angle triangle OBD,
where OB=$\sqrt{2}$ unit, BD = $1$ unit
Using Pythagorean Theorem
OD${}^2$ = OB${}^2$+ BD${}^2$
= $(\sqrt{2}{)}^2$ + $1^2$
= 2 + 1
OD${}^2$ = 3
Taking square root of both sides
$\sqrt{O{D}^2}$ = $\sqrt{3}$
OD = $\sqrt{3}$
Now, you have OD and measure the length of OD and cut this length on number line which will give you approximate of $\sqrt{3}$ as 1.7