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. The minimum number of points to be located at equal distances on ray BX is
5
8
13
3
Step 1: The scale factor of the required triangle is \(\dfrac{8}{5}\). This means each side of the new triangle will be 8 parts for every 5 parts of the original triangle.
Step 2: When constructing similar triangles using the method of division on a ray (ray BX here), we divide the ray into a number of equal parts equal to the denominator and numerator added together.
Step 3: Why do we add? - The denominator (5) shows the parts that represent the original triangle. - The numerator (8) shows the parts that represent the scaled triangle. - To correctly map one triangle onto the other, we need both sets of points, so we take total = 5 + 8.
Step 4: So, we need to mark 13 equal divisions (points) on ray BX.
Final Answer: 13