To divide a line segment AB in the ratio 5:7, first a ray AX is drawn so that ∠BAX is an acute angle and then at equal distances points are marked on the ray AX such that the minimum number of these points is
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Step 1: The question asks us to divide a line segment AB in the ratio 5:7.
Step 2: The ratio 5:7 means AB is divided into two parts. One part is 5 units long and the other part is 7 units long.
Step 3: To do this by construction, we first draw a ray AX making an acute angle with AB.
Step 4: On this ray AX, we mark equal distances (like equal steps).
Step 5: The number of equal steps (points) must be equal to the total parts in the ratio.
Step 6: Add the numbers in the ratio: 5 + 7 = 12.
Step 7: So, we must mark 12 equal points on AX.
Final Answer: 12