Q.36.	If perimeter of a triangle is 100 cm and the length of two sides are 30 cm and 40 cm, the length of third side will be

Given that the perimeter of the triangle is 100 cm, and the lengths of two sides are 30 cm and 40 cm, we can find the length of the third side using the formula for the perimeter of a triangle:

\[
\text{Perimeter} = a + b + c
\]

Where \(a\), \(b\), and \(c\) are the lengths of the three sides of the triangle.

In this case:
- \(a = 30\) cm
- \(b = 40\) cm
- The perimeter = 100 cm

We need to find the length of the third side \(c\).

\[
100 = 30 + 40 + c
\]

Simplifying the equation:

\[
100 = 70 + c
\]

Now, solving for \(c\):

\[
c = 100 - 70 = 30 \, \text{cm}
\]

Thus, the length of the third side is **30 cm**.

Would you like more details or have any questions?

Here are some related questions:
1. What happens if the perimeter of the triangle changes?
2. Can a triangle have sides of any length?
3. What if one of the given sides was larger than the perimeter minus the other sides?
4. How does the triangle inequality theorem apply here?
5. Can you calculate the area of this triangle using the given sides?

**Tip:** The sum of the lengths of any two sides of a triangle must always be greater than the third side (Triangle Inequality Theorem).

Q.36. If the perimeter of a triangle is 100 cm and the length of two sides are 30 cm and 40 cm, the length of the third side will be

Learn how to find the length of the third side of a triangle when the perimeter is 100 cm and the lengths of two sides are 30 cm and 40 cm. This solution explains the perimeter formula, basic algebraic steps, and includes a discussion of the Triangle Inequality Theorem. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation