Mathematics
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.
Constructions
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Answer
Steps of construction :
Draw a line segment BC = 4.5 cm
Construct XB such that ∠XBC = 135°.
Cut AB = 5.5 cm from XB.
Join and measure AC.
Draw PQ and RS the perpendicular bisectors of BC and AB.
Mark point O the intersection of PQ and RS.
With O as center and radius as OA, draw a circle touching the vertices A, B and C.
On measuring AC = 9.1 cm and radius = 6.5 cm.
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