Question

Construct a triangle which has angle B = 60 degree, angle C = 45 degree, AB+BC+CA= 12 cm.

Answer 1

Angle A = 180-60+45
= 180-105
=75°
AB = x
BC = 2x
AC = 3x
AB+BC+AC = 12
x+2x+3x = 12
6x = 12
x = 2
AB = 2 cm
BC = 4 cm
AC = 6 cm