Question

using a pair of compass and ruler only costruct triangle abc where ab is 7cm,ac is 9.8 and angle abc is 120,construct a circle which passes through the point abc, locate a point d on the circle such that abcd is a trapezium in which bc is parallel to ad

Answer 1

Answer:

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Answer 2

Given :   triangle abc where ab is 7cm,ac is 9.8 and angle abc is 120

To Find : Construct triagle , circumcircle

Solution:

Step 1 :  Draw a line segment ab = 7 cm

Step 2 : using suitable compass  width taking B as center draw an semicircle intersecting AB at M

Step 3 : Keeping compass width same taking M as center cut semicircle at N

Step 4 : Keeping compass width same taking N as center cut semicircle further at P

Step 5 : Draw a ray BX passing through P

Step 6 : Taking compass with = 9.8 cm & A as center , draw an arc intersecting ray BX at C

Step 7 : Join AC

Triangle ABC is constructed

Step 8 : Draw perpendicular bisectors of two lines  which meets at O

Step 9 : Taking  O as center taking compass width = OA = OB = OC , draw a circle

Step 10 : Draw  a line parallel to BC passing through A & intersecting circle at D

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