Question

The sum of the lengths of any two sides is greater than the third side, then the given sides will form a triangle.

Apply the theorem statement for the given numbers 10, 7 and 13. Do these numbers form a triangle? Explain

Answer 1

Yes, These numbers 10, 7, and 13 can form a triangle

Explanation:

• The sum of any two sides of a triangle is greater than the third side

Let us use this theorem to solve the question

∵ The numbers are 10, 7, 13

∵ 10 + 7 = 17

∵ 17 > 13

∴ The sum of 10 and 7 is greater than the 3rd number 13

∵ 10 + 13 = 23

∵ 23 > 7

∴ The sum of 10 and 13 is greater than the 3rd number 7

∵ 7 + 13 = 20

∵ 20 > 10

∴ The sum of 7 and 13 is greater than the 3rd number 10

∵ The sum of every two numbers is greater than the 3rd number

→ By using the theorem above

∴ The numbers 10, 7, and 13 can form a triangle