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Misc 6 - Practical Geometry
Last updated at April 16, 2024 by Teachoo
Constructing a triangle when 3 sides known (SSS)
Practical Geometry
Concept wise
- Construction of line parallel to given line, through point not on line
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Constructing a triangle when 3 sides known (SSS)
- Constructing a triangle when 2 sides and angle between is known (SAS)
- Constructing a triangle when 2 angles and side between is known (ASA)
- Constructing a right triangle when hypotenuse and side is given (RHS)
Transcript
Misc 6 Below are given the measures of certain sides and angles of triangles. Identify those which cannot be constructed and, say why you cannot construct them. Construct rest of the triangles. In a triangle, Sum of two Sides > Third Side Here, Sum of two sides is always greater than third side ∴ Δ PQR is possible Let’s construct it We follow these steps Steps of construction 1. Draw a line segment PQ of length 3.5 cm 2. Taking 3.5 cm as radius, and P as center, draw an arc. 3. Taking 4 cm as radius, and Q as center, draw another arc. Let R be the point where the two arcs intersect Join PR and QR and label the sides Thus, Δ PQR is the required triangle
