Question

7) Find the area of an equilateral triangle whose side is 4 cm *
413 cm
1613 cm
813 cm
O 16 cm2
Please answers fast

Answer 1

Solution

\rule{200}{2}

\tt Given\begin{cases} \sf{Side \: of \: equilateral \: triangle = 4 \: cm} \end{cases}Given{

Sideofequilateraltriangle=4cm

\rule{200}{2}

\Large{\underline{\underline{\bf{To \: Find :}}}}

ToFind:

We have to find the area of the equilateral triangle.

\rule{200}{2}

\Large{\underline{\underline{\bf{Explanation :}}}}

Explanation:

We know the formula to find the area of the equilateral triangle when side is given

\Large{\star{\boxed{\sf{Area = \frac{\sqrt{3}}{4} \times a^2}}}}⋆

Area=

4

3

×a

2

_______________[Put Values]

\begin{gathered}\sf{→Area = \frac{\sqrt{3}}{4} \times (4)^2} \\ \\ \sf{→Area = \frac{\sqrt{3}}{\cancel{4}} \times \cancel{16}} \\ \\ \sf{→Area = \sqrt{3} \times 4} \\ \\ \sf{→ Area = 4\sqrt{3} \: cm^2}\end{gathered}

→Area=

4

3

×(4)

2

→Area=

4

3

×

16

→Area=

3

×4

→Area=4

3

cm

2

\Large{\star{\boxed{\sf{Area = 4\sqrt{3} \: cm^2}}}}⋆

Area=4

3

cm

2