Why we teach the learners to calculate area and perimeter? Perimeter of equilateral triangle is 24 cm if its height is 6cm. Find its area.
Answers
Answer:
observing the daily life situations related to perimeter and area and they will help for constructing houses and fencing the gardens and so on
Given :
- Perimeter of equilateral triangle is 24 cm.
- It's height is 6 cm.
To find :
- Area of equilateral traingle =?
Formula Used :
- Area of triangle = 1/2 × base × height
Step-by-step explanation :
It is Given that,
Perimeter of equilateral triangle is 24 cm.
It's height is 6 cm.
As We know that,
Sides of all three equilateral triangle are equal.
Now,
Let, the one side of triangle be, x.
Then, the all three sides of triangle,
= x + x + x
= 3x.
Now,
We know that,
Sum of all sides of triangle = Perimeter
3x = 24
x = 24/3
x = 8.
Therefore, One side of the equilateral triangle = 8 cm.
As We know that,
Area of triangle = 1/2 × base × height
Substituting the values in the above formula, we get,
= 1/2 × 8 × 6
= 24.
Therefore, Area of the equilateral triangle = 24 cm².