Question

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1. What is a Median of a Triangle?

2. How do we draw a Median of a triangle?

3. What is an Altitude of a Triangle?

4. How do we draw an Altitude of a Triangle? ​

Answer 1

Step-by-step explanation:

1. In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
2. Constructing Median of a Triangle
3. Step 1 : Draw triangle ABC using the given measurements.
4. Step 2 : Construct the perpendicular bisector of the side BC to find midpoint E of BC.
5. Step 3 : Now, join the vertex A and the mid point E of BC. Now, AE is the median to the side BC of the triangle ABC
6. In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). ... The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex.
7. Method. The construction starts by extending the chosen side of the triangle in both directions. This is done because the side may not be long enough for later steps to work. After that, we draw the perpendicular from the opposite vertex to the line.