Question

Construct a triangle abc in which bc=7cmangleabc=60°and ab+ac=12cm

Answer 1

cosB=(ab)^2+(bc)^2-(ac)^2/2(ab)(bc)

1/2=(X)^2+(7)^2-(12-x)^2/2(x)(7)

17x=95

X=5.58

i.e.

ab=5.58 and ac=(12-5.58)=6.42

now it is easy to draw the triangle