Question

The construction of a triangle ABC,given that bc=10 cM, angle c -60 degree is possible when sum of ab and ac

Answer 1

Step-by-step explanation:





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>>To construct a ABC in which BC = 10 cm

Question



To construct a △ABC in which BC = 10 cm and B= 60oand AB + AC =14 cm, then the length of BD used for Construction:

A]. 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+ACfrom 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.