Question

construct a triangle ABC in which bc = 4.7 cm ab + ac = 8.2 cm and angle c =60 degree​

Answer 1

Answer:

1. Construct a line segment BC of 4.5cm

2. Construct a 45o angle at B

3. Take the length of PB as 5.6cm.

4. Join PC

5. Construct a bisector at PC. The line will meet BP at point A. Join AC

We get the required triangle.



Answer 2

Step-by-step explanation:

Given : In ΔABC, BC= 4.7 cm, AB + AC = 8.2 cm and ∠C= 60°.

Required : To construct ΔABC.

Steps of construction:

1. Draw BC = 4.7 cm.

2. Draw ∠BCX

3. From ray CX, cut off CD = 8.2

4. Join BD.

5. Draw the perpendicular bisector of BD meeting CD at A.

6. Join AB to obtain the required triangle ABC.

Justification :

∵ A lies on the perpendicular bisector BD, therefore

AB = AD

Now, CD = 8.2 cm ⇒ AC + AD = 8.2 cm ⇒ AC + AB = 8.2 cm