Question

4. Draw a triangle ABC whose BC 5.5 cm., <ABC = 60' and <ACB = 30"
​

Answer 1

Answer:

Construction:

1. Draw a line segment BC=5.5 cm

2. Through B draw BX such that ∠CBX=60

∘

3. Draw BY⊥BX.

4. Draw ⊥ are bisector of BC so that it cuts BC at M and BY at O.

5. Draw a circle with centre O and radius OB.

6. The major are BKC of the circle contains the vertical angle 60

∘

.

7. With M as centre, draw an arc of radius 4.5 cm meeting the circle at A and A

′

.

8. △ABC or △A

′

BC is the require triangle.

solution

Answer 2

Given : ΔABC  BC = 5.5 cm  ∠ABC = 60° , ∠ACB = 30°

To Find : Construct triangle ABC

Solution:

Step 1 : Draw a line segment BC = 5.5 cm

Step 2 : Draw  a ray BX at an angle of 60° at BC using protractor

Step 3 :  Draw an angle of 30° at C on BC using protractor and intersecting ray BX at A

ΔABC is constructed

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