4. Draw a rough sketch for the following: (i) In triangle PQR, QL is an altitude in the exterior of the triangle.
(ii) In triangle ABC, BE and CF be the medians.
(iii) In triangle XYZ, XY and XZ are altitudes of the triangle.
《 Please solve this question 》
(ii) In triangle ABC, BE and CF be the medians.
(iii) In triangle XYZ, XY and XZ are altitudes of the triangle.
《 Please solve this question 》
Answers & Comments
Answer:
(i) In triangle PQR, draw a triangle PQR. Then, draw a line segment QL from vertex Q to the line segment PR, but outside the triangle. This line segment QL is the altitude of triangle PQR from vertex Q to the line PR extended.
(ii) In triangle ABC, draw a triangle ABC. Then, draw line segments BE and CF from vertex B and C respectively to the midpoints of the opposite sides AC and AB. These line segments BE and CF are the medians of triangle ABC.
(iii) In triangle XYZ, draw a triangle XYZ. Then, draw perpendicular line segments XY and XZ from vertex X to the line segments YZ and ZY respectively. These perpendicular line segments XY and XZ are the altitudes of triangle XYZ.
You can sketch these situations on a piece of paper to visualize them better. If you need more detailed sketches, it might be helpful to use a geometry drawing tool or consult a geometry book.
Step-by-step explanation:
Please draw on your own with the following measurements