Construct the triangle similar to given triangle PQR it's sides equal to 2//3of the corresponding sides of the triangle

Construct the triangle similar to given triangle PQR it's sides equal

1.	Construct the triangle similar to given triangle PQR it's sides equal to 2//3of the corresponding sides of the triangle
Answer» f Construction: (1) Draw any ray QX making an acute angle with QR on the side OPPOSITE to the vertex P. (2) Locate 3 (the greater of 2 and 3 in 2/3) points. Q1Q2, Q2 on QX so that QQ1 = Q1Q2 = Q2Q3 (3) Join Q3 R and draw a line through Q2 (the second point, 2 being smaller of 2 and 3 in 2/3) parallel to Q3 R to intersect QR at R’. (4) Draw line through R’ parallel to the line RP to intersect QP at P’. The ΔP’QR’ is the required triangle each of the whose sides is 2/3 of the corresponding sides of ∆PQR..