+1 vote
in Class 10 by kratos

Construct a ΔPQR in which QR = 6 cm, PQ = 5 and ΔPQR = 60°. Also construct a ΔABC in which AB = 2/5PQ.

1 Answer

+5 votes
by kratos
 
Best answer

Steps of Constructions :

Step 1 : Draw QR = 6 cm at Q draw an angle of P of 60°.

Step 2 : Draw ∠XPR = 60° from Q draw an arc of 5 cm. which is point P.therefore Δ PQR is the required triangle.

Step 3 : From Q draw an acute angle ∠ RQY.

Step 4 : From Q draw equal arc i.e., QQ1 = Q1Q2 = Q2Q3 = Q3Q4 = Q4Q5.

Step 5 : Join Q5 to R, draw line parallel to Q5R from Q2. Which intersect QR at R’ from R’. draw line

parallel to PR. which intersect PQ at P’

Step 6 : P’QR’ is the required triangle ΔABC.

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