Step-by-step explanation:
Draw the base BC and at the point, B makes an angle, say XBC equal to the given angle.
B]. Cut a line segment BD equal to AB+AC from the ray BX.
C]. Join DC and make an angle DCY equal to BDC.
D]. Let CY intersect BX at A
E]. ABC is the required triangle.
F]. In triangle ΔACD, ∠ACD=∠ADC.
G]. So, AB=BD–AD=BD–AC
H]. AB+AC=BD
From this we get, BD=14cm.
solution
