88.7k views
5 votes
Volume 1 (3)3 = 367

SSCE/JME-TYPE OF
2
The area of an equilateral triangle of side 8 cm is
A. 16V3 cm? B. 32/3 cm
B.
48 cm
cm?
D.
36V3 cm
A
parallelogram
of area 425 cmhas a height o​

User Shiela
by
8.5k points

1 Answer

5 votes

Answer:


A.\ 16\sqrt3\ cm^2 is the correct answer.

Explanation:

Given that:

Side of an equilateral triangle = 8 cm

To find:

Area of the triangle will be:


A.\ 16\sqrt3\ cm^2


B.\ (32)/(3) cm^2


C.\ 48\ cm^2


D.\ 36\sqrt3\ cm^2

Solution:

First of all, let us have a look at the formula for area of an equilateral triangle:


A =(\sqrt3)/(4)a^2

Where
a is the side of equilateral triangle and an equilateral triangle is a closed 3 sided structure in 2 dimensions which has all 3 sides equal to each other.

Here, we are given that side,
a=8\ cm

Putting the value in formula:


A =(\sqrt3)/(4)* 8^2\\\Rightarrow A =(\sqrt3)/(4)* 64\\\Rightarrow A =\sqrt3* 16\\OR\\\Rightarrow \bold{A =16\sqrt3\ cm^2}

Hence,
A.\ 16\sqrt3\ cm^2 is the correct answer.

User Dax Durax
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories