construct triangle KLM such that LM is equal to 6.8cm Angle K is equal to 50°, Angle M is equal to 45° and construct its circumcircle
Answers
Given : LM is equal to 6.8cm Angle K is equal to 50°, Angle M is equal to 45°
To Find : Construct triangle and its circumcircle
Solution:
∠K = 50°
∠M = 45°
=> ∠L = 180° - (50° + 45°) = 85°
Step 1 : Draw a line segment LM = 6.8 cm
Step 2 : Draw a ray LX at an angle of 85° at LM using protractor
Step 3 : Draw a ray MY at an angle of 45° at LM using protractor
Step 4 : ray LX and ray MY intersects at K
Step 5 : To Draw circumcircle , draw perpendicular bisector of any two sides of triangle which intersects at O
Step 6 : Using Compass width = OK = OL = OM , draw a circle
How to draw perpendicular bisector :
let say perpendicular bisector of LM
Using suitable compass width and taking L as center draw arc both sides
Keeping compass width same and taking M as center draw arc both sides such that it intersects arc drawn in previous step at A and B
draw a line passing through A and B.
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