select the correct answer.\nbased on these segment lengths, which group of segments can form a triangle?\na…

select the correct answer.\nbased on these segment lengths, which group of segments can form a triangle?\na. 3, 10, 14\nb. 8, 7, 13\nc. 3, 2, 5\nd. 20, 7, 13

select the correct answer.\nbased on these segment lengths, which group of segments can form a triangle?\na. 3, 10, 14\nb. 8, 7, 13\nc. 3, 2, 5\nd. 20, 7, 13

Answer

Explanation:

Step1: Recall triangle inequality rule

For lengths $a,b,c$, sum of any two sides > third side. We only need to check if sum of two shorter sides > longest side.

Step2: Test Option A (3,10,14)

Longest side = 14. Sum of shorter sides: $3+10=13$. $13 < 14$, fails.

Step3: Test Option B (8,7,13)

Longest side = 13. Sum of shorter sides: $7+8=15$. $15 > 13$, passes.

Step4: Test Option C (3,2,5)

Longest side = 5. Sum of shorter sides: $2+3=5$. $5 = 5$, fails.

Step5: Test Option D (20,7,13)

Longest side = 20. Sum of shorter sides: $7+13=20$. $20 = 20$, fails.

Answer:

B. 8, 7, 13