Question

Construct a triangle ABC, in which B = 60°,  C = 45° and AB + BC+ CA = 12 cm.​

Answer 1

other side-x

a+b+c-180 degree

x+60+45=180 degree

x=105-180

x=75

Answer 2

i)Draw a line segment XY=11cm.

ii)Make an angle equal to ∠B=60 from point X and mark L on this line.

iii)Make an angle equal to ∠C=45∘ from point Y and mark M on this line.

iv)Bisect  ∠LXYand∠MYX,let the bisectors meet at point A.

v)Make perpendicular bisector of AX,let it intersect XY at B.

vi)Make perpendicular bisector of AY,let it intersect XY at point C.

vii)Join AB & AC ,Then measure AB+BC+AC.

    If that is equal to 11cm.

The statement is true and ABC is the required triangle.