Question

draw triangle ABC with AB=7cm A=671/2° B=15° the angle of C is not given without using protractor

Answer 1

Given :  triangle ABC with AB = 7 cm A = 67 1/2°  B=15°

To find : Construct triangle

Solution:

Step 1 :  Draw  a line segment AB  = 7 cm

Step 2 :  Using suitable width of  compass taking A as center draw  a semi circle intersecting AB  at P

Step 3 : Using P as center & keeping compass width same cut semicircle at Q

Step 4 : Using Q as center & keeping compass width same ccut semicircle further at R

Step 5 : Taking Q & R center draw two arcs intersecting at S

Step 6 : join PS intersecting semicircle at T

Step 7 :  Taking Q & S as center draw two arcs intersecting at U

Step 8 : Draw a Ray AU  

Step 9 : Using suitable width of  compass taking B as center draw  a large arc intersecting  BA  at V

Step 10 : Using V as center & keeping compass width same cut large arc at W

Step 11 : Draw a Ray BV     intersecting Ray AU at C

ΔABC is constructed

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