More triangle centres...
- Callum Marshall
i. What do you notice about the three altitudes you constructed? ii. Does it make any difference when you drag any of the vertices of the triangle?
i. Explain why RA = BC..? ii. Which other line segment is equal to BC..? iii. What conclusion can you come to from your results above?
i. How would you describe the relationship between AE and RQ, and why? (Note: E lies on BC and D lies on AC, etc) ii. Which other pairs of lines have the same relationship? iii. What can you say about the relationship between the ALTITUDES, AE, BD and CF in relation to triangle PQR? iii. Hence, what can say about the relationship between the ALTITUDES, AE, BD and CF of triangle ABC that proves what you described in Question 2.