CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Calculate the area and the height of an equilateral triangle whose perimeter is 60 cm.


A
173.2cm2;11.32
loader
B
173.2cm2;19.32
loader
C
173.2cm2;17.32
loader
D
173.2cm2;14.32
loader

Solution

The correct option is B $$173.2 cm^{2}; 17.32$$
Given, perimeter of equilateral triangle is $$60 cm$$.
Perimeter of equilateral triangle$$= 60 cm$$
3$$ \times $$ side $$= 60$$
$$\therefore$$ side $$= \dfrac { 60 }{ 3 } = 20 cm$$.
Area of equilateral triangle $$=\dfrac { \sqrt { 3 } { (side) }^{ 2 } }{ 4 } \\ =\dfrac { \sqrt { 3 } \times { 20 }^{ 2 } }{ 4 } \\ =\quad 100\sqrt { 3 } \quad { cm }^{ 2 }\quad =\quad 173{ .2\quad cm }^{ 2 }\quad $$
Height of equilateral triangle $$=\dfrac { \sqrt { 3 } { (side) } }{ 2 } \\ =\dfrac { \sqrt { 3 } \times { 20 } }{ 2 } \\ =\quad 10\sqrt { 3 } \quad { cm }\quad =\quad 17.3{ 2\quad cm }\quad $$


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image