Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.20, 20, 30 = ?

Answer:20 , 20 , 30 will produce a triangleStep-by-step explanation:* Lets study how to know if the lengths of the three segments  can formed a triangle- It is a fact that in any triangle the sum of the smallest two sides  must be greater than the largest side- Lets study some examples# If the lengths of the three segments are 5 , 6 , 7∵ 5 and 6 are the smallest∴ 5 + 6 = 11∵ 11 > 7 ⇒ the sum greater than the 3rd side∴ 5 , 6 , 7 can formed a triangle# If the lengths of the three segments are 5 , 7 , 12∵ 5 and 7 are the smallest∴ 5 + 7 = 12∵ 12 = 12 ⇒ the sum equal the 3rd side∴ 5 , 7 , 12 can not formed a triangle# If the lengths of the three segments are 10 , 12 , 24∵ 10 and 12 are the smallest∴ 10 + 12 = 22∵ 22 < 24 ⇒ the sum less than the 3rd side∴ 10 , 12 , 24 can not formed a triangle* Now lets solve the problem∵ The length of the three segments are 20 , 20 , 30∵ 20 and 20 are the smallest∴ 20 + 20 = 40∵ 40 > 30 ⇒ the sum greater than the 3rd side∴ 20 , 20 , 30 will produce a triangle