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ICSE Class 10 Mathematics Question 17 of 28

Short Answer Questions 2 — Question 17

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Question

Question 94

Use ruler and compass to answer this question. Construct a triangle ABC where AB = 5.5 cm, BC = 4.5 cm and angle ABC = 135°. Construct the circumcircle to the triangle ABC. Measure and write down the length of AC.

Answer

Steps of construction :

  1. Draw a line segment BC = 4.5 cm

  2. Construct XB such that ∠XBC = 135°.

  3. Cut AB = 5.5 cm from XB.

  4. Join and measure AC.

  5. Draw PQ and RS the perpendicular bisectors of BC and AB.

  6. Mark point O the intersection of PQ and RS.

  7. With O as center and radius as OA, draw a circle touching the vertices A, B and C.

Use ruler and compass to answer this question. Construct a triangle ABC where AB = 5.5 cm, BC = 4.5 cm and angle ABC = 135°. Construct the circumcircle to the triangle ABC. Measure and write down the length of AC. Maths Competency Focused Practice Questions Class 10 Solutions.

On measuring AC = 9.1 cm and radius = 6.5 cm.