Question

An equilateral triangle has a perimeter of 60 cm. What is the height of the triangle?

Answer 1

Answer:

Step-by-step explanation:

Given, perimeter of equilateral triangle is 60cm.

Perimeter of equilateral triangle=60cm

3× side =60

∴ side =  

3

60

​  

=20cm.

Area of equilateral triangle =  

4

3

​  

(side)  

2

 

​  

 

=  

4

3

​  

×20  

2

 

​  

 

=100  

3

​  

cm  

2

=173.2cm  

2

 

Height of equilateral triangle =  

2

3

​  

(side)

​  

 

=  

2

3

​  

×20

​  

 

=10  

3

​  

cm=17.32cm

Answer 2

Answer:

Let each side of an equilateral triangle be x .

The perimeter of an equilateral triangle = 60m .

; x + x + x = 60

= 3x = 60

x = 60/3

x = 20

so , the height of an equilateral triangle is 20m .