Question

To construct a triangle similar to a given ΔABC with its sides `8/5` of the corresponding sides of ΔABC draw a ray BX such that ∠CBX is an acute angle and X is on the opposite side of A with respect to BC. Then minimum number of points to be located at equal distances on ray BX is ______.

Options

• 5

• 8

• 13

• 3

Answer 1

To construct a triangle similar to a given ΔABC with its sides `8/5` of the corresponding sides of ΔABC draw a ray BX such that ∠CBX is an acute angle and X is on the opposite side of A with respect to BC. Then minimum number of points to be located at equal distances on ray BX is 8.

Explanation:-

To construct a triangle similar to a given triangle with its sides m/n of the corresponding sides of given triangle, the minimum number of points to be located at equal distance is equal to the greater of m and n in m/n.

Here, `m/n=8/5`

So the minimum number of points to be located at equal distance on ray BX is 8.