Question

The perimeter of an equilateral triangle is(p+1)cm. Find the length of its altitude.

Answer 1

Firstly we know that
perimeter of equilateral triangle= 3a
p+1= 3a
a=p+1÷3
height of equilateral triangle=√3a÷2
= √3×p+1÷3÷2
=p+1÷2√3

Answer 2

Answer:

Step-by-step explanation:

As we know perimeter of an equilateral triangle is always

3a

let 'a' be the side of the triangle

According to the question

$3a=p+1\\\\a=\frac{p+1}{3}\\\\= \frac{\sqrt{3}a}{2}\\\\=\frac{\sqrt{3} [p+1]}{[3][2]}\\\\=\frac{\sqrt{3}p+1 }{6}$