Question

Draw a triangle and construct three medians of the triangle​

Answer 1

Answer:

Math Open Reference

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Medians of a Triangle

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This page shows how to construct the medians of a triangle with compass and straightedge or ruler. A triangle has three medians. They are lines linking a vertex to the midpoint of the opposite side. We first find the midpoint, then draw the median.

step-by-step instructions

The above animation is available as a printable step-by-step instruction sheet, which can be used for making handouts or when a computer is not available.

Proof

Argument Reason

1 S is the midpoint of PQ By construction. See Perpendicular bisector of a line segment with compass and straightedge for method and proof.

2 RS is a median of the triangle PQR A triangle median is a line segment linking a vertex with the midpoint of the opposite side.

The other two medians from Q,P are proven in a similar way..

Step-by-step explanation:

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Answer 2

Given : a triangle

To find : construct three medians of the triangle.​

Solution:

Step 1  : Draw a line segment AB of any length

Step 2 : Using suitable compass width taking  A as center draw an arc

Step 3 : Using suitable compass width taking  B as center draw an arc intersecting arc drawn in previous step at C

Step 4 : join AC & BC

Step 5 : Draw perpendicular bisector of AB

- Using suitable compass width taking A as center draw arcs on both sides of AB

- Keeping compass width same  taking B as center draw arcs on both sides of AB intersecting arcs drawn in previous step at M & N

- join M & N intersecting AB at F

Step 6 : Join CF

CF  is median of AB

Similarly Draw perpendicular bisector of BC , intersecting BC at D & join AD

Similarly Draw perpendicular bisector of AC , intersecting AC at E & join BE

AD , BE & CF are medians

Learn more:

Construct a triangle when two sides and median corresponding to ...

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Construct a triangle PQR in which PQ= 5 cm,QR= 4.2 cm median RS ...

https://brainly.in/question/9529601