The Perimeter of a triangle is 27.9 cm. Find the length of each side of the triangle
Answers
Answer :
›»› The length of each side of the triangle is 9.3 cm.
Step-by-step explanation :
Given :
- Perimeter of a triangle = 27.9 cm.
To Find :
- Length of each side of the triangle = ?
Knowledge required :
The perimeter of a triangle is defined as sum of all sides of a triangle.
Formula of perimeter of triangle to calculate the length of each side of triangle is given by,
→ Perimeter of triangle = sum of all sides.
Solution :
Let us assume that, the length of side of the triangle is a cm.
We know that, if we are given with the perimeter of triangle and we need to find the length of each side then we have the required formula, that is,
→ Perimeter of triangle = sum of all sides.
By using the formula of perimeter of triangle to calculate the length of each side of triangle and substituting the given values in the formula, we get :
→ 27.9 = a + a + a
→ 27.9 = 2a + a
→ 27.9 = 3a
→ 3a = 27.9
→ a = 27.9/3
→ a = 9.3.
Hence, the length of each side of the triangle is 9.3 cm.
Verification :
The perimeter of a triangle is defined as sum of all sides of a triangle.
i.e,
→ Perimeter of triangle = sum of all sides.
→ Perimeter of triangle = a + a + a
→ 27.9 = 9.3 + 9.3 + 9.3
→ 27.9 = 18.6 + 9.3
→ 27.9 = 27.9
Clearly LHS = RHS.
Here both the conditions satisfy so our answer is correct.
Hence Verified !
Answer:
Given :-
- The perimeter of a triangle is 27.9 cm.
To Find :-
- What is the length of each side of the triangle.
Formula Used :-
We know that,
➤ Perimeter = Sum of all length of side of triangle.
So,
✪ Perimeter = 3a ✪
where,
- a = Side of triangle
Solution :-
Given :
- Perimeter = 27.9 cm
According to the question by using the formula we get,
⇒ Perimeter = 3a
⇒ 27.9 = 3a
⇒ - 3a = - 27.9
⇒ a = - 27.9 / 3
➠ a = 9.3 cm
∴ The length of each side of the triangle is 9.3 cm .
Let's Verify :
↦ Perimeter = 3a
↦ 27.9 = 3a
Put a = 9.3 we get
↦ 27.9 = 3(9.3)
↦ 27.9 = 27.9
➦ LHS = RHS
Hence, Verified ✔