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draw a triangle ABC in which two of its side AB and BC are it's two altitude
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draw a triangle ABC in which two of its side AB and BC are it's two a...
Constructing Triangle ABC with Altitude AB and BC:
1. Draw a Triangle ABC:
- Start by drawing a triangle ABC on a piece of paper.
- Mark the vertices as A, B, and C.
2. Construct Altitude AB:
- To construct altitude AB, draw a perpendicular line from vertex A to side BC.
- Label the point where the altitude intersects side BC as D.
3. Construct Altitude BC:
- To construct altitude BC, draw a perpendicular line from vertex B to side AC.
- Label the point where the altitude intersects side AC as E.
4. Verify Altitudes AB and BC:
- Check that altitudes AB and BC are perpendicular to their respective sides.
- Measure the lengths of AD, DB, BE, and EC to ensure they are equal.
5. Properties of Triangle ABC:
- Altitude AB divides side BC into two segments (BD and DC) in the ratio of the adjacent sides (AC and AB).
- Altitude BC divides side AC into two segments (AE and EC) in the ratio of the adjacent sides (BC and BA).
By following these steps, you can construct a triangle ABC with altitudes AB and BC. This construction helps in understanding the properties of triangles and the relationship between altitudes and sides.
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draw a triangle ABC in which two of its side AB and BC are it's two altitude Related: NCERT Solution: Triangle and Its Properties- 1?
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