Question

draw a triangle ABC in which AB=5.1 cm BC =4.3 cm and angle B =60° .Draw the bisector of angle C and angle A of the triangle meeting at a point x .Measure angle CxA

Answer 1

Construct BC = 6 cm

Construct an angle of 60° at B on BC.

Taking B as centre, with 9 cm radius, draw an arc , which cuts the ray of 60° angle, at X

Join X & C

Then draw perpendicular bisector of XC


Join A & C

So, ABC will be the required triangle

Since AC = AX ( as point ‘A’on perpendicular bisector remains equidistant from X & C )

But AX + AB = 9cm ( we constructed)

=> AC + AB = 9 cm