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The construction of a triangle ABC with AB = 6 cm and ∠A = 60° is not possible when sum of BC and CA is equal to
- a)7.5 cm
- b)7 cm
- c)8 cm
- d)5.5 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The construction of a triangle ABC with AB = 6 cm and∠A = 60°i...
ANSWER :- b
Solution :- Given, BC = 6 cm and ∠A=60°
We know that, the construction of a triangle is possible, if sum of two sides is greater than the third side of the triangle i.e.,
AB - BC > AC
⇒ BC + AC > AB
⇒ BC + AC > 6
So, if BC + AC = 7 cm
Most Upvoted Answer
The construction of a triangle ABC with AB = 6 cm and∠A = 60°i...
The construction of a triangle ABC with AB = 6 cm and AC = 8 cm can be done using the following steps:
1. Draw a line segment AB of length 6 cm.
2. From point A, use a compass to draw an arc with a radius of 8 cm. This arc should intersect the line AB at point D.
3. From point C, use a compass to draw an arc with a radius of 6 cm. This arc should intersect the previous arc at point E.
4. Draw a line segment CD, connecting points C and D.
5. Draw a line segment DE, connecting points D and E.
6. The triangle ABC is formed by connecting points A, B, and C with line segments AB, BC, and AC respectively.
Now, you have constructed a triangle ABC with AB = 6 cm and AC = 8 cm.
1. Draw a line segment AB of length 6 cm.
2. From point A, use a compass to draw an arc with a radius of 8 cm. This arc should intersect the line AB at point D.
3. From point C, use a compass to draw an arc with a radius of 6 cm. This arc should intersect the previous arc at point E.
4. Draw a line segment CD, connecting points C and D.
5. Draw a line segment DE, connecting points D and E.
6. The triangle ABC is formed by connecting points A, B, and C with line segments AB, BC, and AC respectively.
Now, you have constructed a triangle ABC with AB = 6 cm and AC = 8 cm.
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The construction of a triangle ABC with AB = 6 cm and∠A = 60°i...
7cm
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