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### High School Mathematics - 28.8 Construction of Cyclic Quadrilateral

 Construct a cyclic quadrilateral KLMN with KL 4cm, LM = 4.8 cm, KM = 6.8 cm, KN = 4.3 cm Step 1: Construct the triangle KLM. Step 2: Bosect the lines KL and LM and extend the bisector lines to meet at point O. Step 3: With O as origin, draw a circle passing through the points K, L and M. Step 4: From K, draw an arc of radius 4.3 cm to cut the circle at point N. Step 5: Draw the quadrilateral KLMN. Directions: Construct cyclic quadrilaterals.
 Q 1: Answer: Q 2: Construct a cyclic quadrilateral XYZT with XY= 4.5cm, YZ=7.5cm, ZT=5cm and XTZ = 60Answer: Q 3: Answer: Q 4: Construct a cyclic quadrilateral XYZT with XY= 6.5cm, YZ=7.5cm, ZT=8cm and XTZ = 120 degrees.Answer: Q 5: Construct a cyclic quadrilateral XYZT with XY= 2.5cm, YZ=5.5cm, ZT=3cm and XTZ = 60Answer: Q 6: Construct a cyclic quadrilateral XYZT with XY= 2.5cm, YZ=5.5cm, ZT=3cm and XTZ = 60Answer: Q 7: Construct a cyclic quadrilateral ABCD with AB=4.5cm, BC=5.5cm, ABC = 110 degrees.Answer: Q 8: Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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