Question

4
which of the following triangles would not lie on the same straight line?
2
8
16
2
4
2
which of the following triangles would not lie on the same straight line?
5
3
3
5
25
15
3
which of the following triangles would not lie on the same straight line?
1
3
6
18
2
3
1
which of the following triangles would not lie on the same straight line?
4
4
5
4
5
5

Explanation:

Step1: Analyze Triangle 1

Check side ratios: 4-2-? (simplify: 2-1), 8-16-? (simplify: 1-2), 2-4-? (simplify:1-2). The first triangle (4,2) has a different ratio.

Step2: Analyze Triangle 2

Check side ratios: 5-3-? (fixed), 3-5-? (same as 5-3), 25-15-? (simplify:5-3). All match except none—wait, no: 5-3,3-5,25-15=5-3. Wait, original question: "not lie on same straight line" likely means non-similar. Triangle 2: all are 3-5 (scaled), so none? No, correction: Triangle 1: first triangle (4,2) vs others (8-16=1-2, 2-4=1-2). So first triangle in 1 is odd.

Step3: Analyze Triangle 3

Side ratios:1-3-? (simplify:1-3),18-6-? (simplify:3-1),2-3-? (simplify:2-3). The third triangle (2,3) is odd.

Step4: Analyze Triangle 4

Side ratios:4-4-? (1-1),4-5-? (4-5),5-4-? (5-4). The first triangle (4,4) is odd.

Answer:

1. The top-left triangle (4,2)
2. None (all 3-5 scaled)
3. The bottom triangle (2,3)
4. The top triangle (4,4)