Question

1. which of the following triangles would not lie on the same straight line? (with three triangles, first with base 2 and height 3, second with base 6 and height 18, third with base 1 and height 3)

Explanation:

Step1: Check triangle similarity condition

Triangles on the same straight line (collinear) should be similar. First triangle: legs 2,3. Second: 6,18. Third:1,3.

Step2: Calculate ratios of legs

First ratio: $\frac{2}{3}$. Second: $\frac{6}{18}=\frac{1}{3}$. Third: $\frac{1}{3}$.

Step3: Identify non-collinear triangle

First triangle’s ratio differs from others.

Answer:

The Top Triangle