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If the construction of a triangle ABC in which AB = 6 cm, ∠A = 70° and ∠B = 40° is possible then find the measure of ∠C.
- a)40°
- b)70°
- c)80°
- d)none
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If the construction of a triangle ABC in which AB = 6 cm, ∠A = 70&...
To construct a triangle ABC with AB = 6 cm, BC = 8 cm, and AC = 10 cm, follow these steps:
1. Draw a line segment AB of length 6 cm.
2. Place the compass at point A and draw an arc with a radius of 8 cm to intersect the line segment AB. Label this point as C.
3. Place the compass at point B and draw an arc with a radius of 10 cm to intersect the line segment AB. Label this point as C.
4. Connect points A and C with a line segment to form side AC.
5. Connect points B and C with a line segment to form side BC.
6. Label the final triangle as ABC.
Note: It is important to ensure that the lengths of the constructed sides match the given measurements.
1. Draw a line segment AB of length 6 cm.
2. Place the compass at point A and draw an arc with a radius of 8 cm to intersect the line segment AB. Label this point as C.
3. Place the compass at point B and draw an arc with a radius of 10 cm to intersect the line segment AB. Label this point as C.
4. Connect points A and C with a line segment to form side AC.
5. Connect points B and C with a line segment to form side BC.
6. Label the final triangle as ABC.
Note: It is important to ensure that the lengths of the constructed sides match the given measurements.
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Community Answer
If the construction of a triangle ABC in which AB = 6 cm, ∠A = 70&...
Simply...
see,
¶¶sum of angles of triangle = 180 degree..
Angle A = 70 degree
Angle B= 40 degree
Angle C = ?
So ,
180 degree = 70 degree+40 degree + angle C
180 degree - 110 degree = angle C
70 degree = angle C
thus, option B is correct!!
see,
¶¶sum of angles of triangle = 180 degree..
Angle A = 70 degree
Angle B= 40 degree
Angle C = ?
So ,
180 degree = 70 degree+40 degree + angle C
180 degree - 110 degree = angle C
70 degree = angle C
thus, option B is correct!!
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If the construction of a triangle ABC in which AB = 6 cm, ∠A = 70° and ∠B = 40° is possible then find the measure of ∠C.a)40°b)70°c)80°d)noneCorrect answer is option 'B'. Can you explain this answer?
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