Question

Construct the ABC with AB = 5.8 cm, <CAB = 45°, angle BCA = 75. Measure the angle ABC.​

Answer 1

Step-by-step explanation:

Steps of construction

1. Draw a line segment AB of length 5.8cm.

2. Draw a line segment BX, sufficiently large such that ∠ABX=60

∘

.

3. From the segment BX, cut ogff line segment BD of length 8.4cm.

4. Join AD.

5. Draw the perpendicular bisector of AD and let it meet BD at C.

6. Join AC.

Then ABC is the required triangle.

solution

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Answer 2

• Draw a line segment AB of length 5.8cm.
• $\:$

• Draw a line segment BX, sufficiently large such that ∠ABX=60. ∘ .
• $\:$

• From the segment BX, cut ogff line segment BD of length 8.4cm.
• $\:$

• Join AD.
• $\:$

• Draw the perpendicular bisector of AD and let it meet BD at C.
• $\:$

• Join AC