Question

Construct a triangle ABC where base BC = 6.5 cm , CA + AB = 10 cm and ∠B = 60° (Write the steps of construction.)​

Answer 1

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

Answer 2

Your answer -

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Here ABC

A = 5cm

B = 5cm

C = 6cm

Hope It helps you.