Maharashtra State BoardSSC (English Medium) 7th Standard
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Construct a Triangle Given Two Sides and the Angle Included by Them

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notes

Construct a Triangle Given Two Sides and the Angle Included by Them:

1) Draw ∆PQR such that l(PQ) = 5.5 cm, m∠P = 50°, l(PR) = 5 cm.

(A rough figure has been drawn showing the given information. ∠P is an acute angle
and that is shown in the rough figure, too. )

Steps:

  1. According to the rough figure, seg PQ forms the base of length 5.5 cm. 


  2. Ray PG is drawn so that m∠GPQ = 50°.

  3. Open the compass to 5 cm. Placing the compass point on P, draw an arc to cut ray PG at R. Join points Q and R. ∆PQR is the required triangle. 



  4. The ray PG may be drawn on the other side of the seg PQ. Its rough figure will be as shown below. 

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