Question

Cconstruct a triangle in which angle acb =45 bc=4cm and a perpendicular from bc is 2.5cm .draw acirvle circumcircle on the triangle

Answer 1

Steps of Construction: 

 i)Draw a line segment BC = 4 cm.  

ii) At C, draw a perpendicular line CX and from it, cut off CE = 2.5 cm.  

iii) From E, draw another perpendicular line EY.  

iv) From C, draw a ray making an angle of 45^o with CB, which intersects EY at A.  

v) Join AB. Thus, triangle ABC is the required triangle.  

vi) Draw perpendicular bisectors of sides AB and BC intersecting each other at O.  

vii) With centre O, and radius OB, draw a circle which will pass through A, B and C.  Measuring the radius OB = OC = OA = 2 cm