Question 1 Any line segment that is not horizontal or vertical can be represented as the hypotenuse of a right triangle whose legs are aligned with the x-and
y-axes. In GeoGebra, AB is shown as the hypotenuse of such a triangle. You will divide ABin the ratio 2:3 using the Ideas you've seen so far in
the lesson:
• Find and record the lengths of the horizontal and vertical sides of the right triangle.
• Find and record the x-coordinate of a point that divides the horizontal side in the ratio 2: 3. Use the formula from the lesson to guide you:
Xc = XA +
( ) (x8 – XA).
• Find and record the y-coordinate of a point that divides the vertical side in the ratio 2:3. Use the formula from the lesson to guide you:
yc = yA+ () (YB – ya).
• Consider a point that has the x-coordinate of the point that divides the horizontal side in the ratio 2:3 and the y-coordinate of the point
that divides the vertical side in the ratio 2:3. Write down the coordinates of point C. This is the point that divides ABin the ratio of 2:3.