Question

Triangle PQR is congruent Triangle ABC, PQ=3 cm ,QR=4 cm PR=5cm,A(triangle pqr)= A(Triangle abc) = 1:4 Construct Both triangle​​

Answer 1

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• Steps of construction: 1. Draw a line segment PQ of length 3 cm.
• 2. With Q as center and radius 4 cm, draw an arc.
• 3. With P as center and radius 5 cm, draw an arc intersecting the previously drawn arc at R.
• 4. Join PR and OR to obtain the required triangle.
• 5. From Q, cut arcs of equal radius intersecting PQ and QR at M and N, respectively.
• 6. From M and N, cut arcs of equal radius intersecting at point S.
• 7. Join QS and extend to produce the angle bisector of angle PQR
• . 8. Verify that angle PQS and angle SQR are equal to 45° each.