Question

In ∆ABC, ∠A = ∠C . If AC = 4 cm and the perimeter of the triangle = 14 cm then AB and BC each will be equal to :​

Answer 1

Constructions

Construction of Triangles

To construct a ABC in whic...

MATHS

To construct a △ABC in which BC = 10 cm and B= 60

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and AB + AC =14 cm, then the length of BD used for construction

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ANSWER

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+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.

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