Question

Bablu has three sticks of lengths 3, 4 and 5 cm. Ramesh has three sticks of lengths 3, 5 and 9 cm. How many triangles can Bablu and Ramesh make with their sticks?

Answer 1

Answer: 1 triangle

Step-by-step explanation:

From the question, we are told that Bablu has three sticks of lengths 3, 4 and 5 cm and Ramesh has three sticks of lengths 3, 5 and 9 cm. To make a triangle, the addition of the square I the two smallest lengths must be equal to the square of the length of the largest stick. This will be:

Bablu has three sticks of lengths 3, 4 and 5 cm. This will be

3² + 4² = 5²

9 + 16 = 25

Since this is equal, Bablu sticks can make a triangle.

Ramesh has three sticks of lengths 3, 5 and 9 cm. This will be:

3² + 5² = 9²

9 + 25 = 34

Since the answer is 34 and not 9² which is 81, it means that Ramesh can not make a triangle. Therefore, only 1 triangle can be made.