Construction of Triangles: When 3 Sides are Given
Trending Questions
Q. Steps for the construction of a scalene triangle with dimensions as 6 cm, 8 cm, and 10 cm is given below. Choose the correct order.
1. To locate C which is 8 cm from A and 6 cm from B, we draw circles of 8 cm and 6 cm centered at A and B respectively using a compass.
2. Draw AB of length 10 cm using a ruler.
3. Join BC and AC to get triangle ABC.
4. The two circles meet at two different points, one on upside and other on downside. Pick any of them and name it as C.
1. To locate C which is 8 cm from A and 6 cm from B, we draw circles of 8 cm and 6 cm centered at A and B respectively using a compass.
2. Draw AB of length 10 cm using a ruler.
3. Join BC and AC to get triangle ABC.
4. The two circles meet at two different points, one on upside and other on downside. Pick any of them and name it as C.
- 1, 2, 3, 4
- 2, 1, 4, 3
- 2, 1, 3, 4
- 1, 2, 4, 3
Q.
An equilateral triangle has three sides that are equal in length.
True
False
Q. Question 2
Below are given the measures of certain sides and angles of triangles. Identify those which cannot be constructed and, say why you cannot construct them. Construct rest of the triangle.
TriangleGiven measurements2.Δ PQRm∠Q=30∘m∠R=60∘QR=4.7cm
Below are given the measures of certain sides and angles of triangles. Identify those which cannot be constructed and, say why you cannot construct them. Construct rest of the triangle.
TriangleGiven measurements2.Δ PQRm∠Q=30∘m∠R=60∘QR=4.7cm
Q.
Name the type of triangle given below:
- with and
Q.
State whether the triangle is right angled or not whose measures are given below:
58, 83, 39
Q. In △ ABC , ∠ B = 90° and ¯¯¯¯¯¯¯¯AC = 13 cm. Which of the following information is needed to construct the triangle?
- ∠ A = 25°
- ¯¯¯¯¯¯¯¯BC = 5 cm
- ∠ C = 65°
- None of the above
Q. In △ ABC , ∠ B = 90° and ¯¯¯¯¯¯¯¯AC = 13 cm. Which of the following information is needed to construct the triangle?
- ∠ A = 25°
- ¯¯¯¯¯¯¯¯BC = 5 cm
- ∠ C = 65°
- None of the above
Q. Question 3
Write True or False and give reasons for your answer:
A ΔABC can be constructed in which AB = 5cm, ∠A=45∘ and BC + AC = 5cm.
Write True or False and give reasons for your answer:
A ΔABC can be constructed in which AB = 5cm, ∠A=45∘ and BC + AC = 5cm.
Q. Which information is correct to create a triangle?
- An equilateral triangle with side 6 cm
- A right angled triangle with two other angles measured 40° and 50°
- ¯¯¯¯¯¯¯¯AB = 5 cm , ∠ A = 35°, ∠ C = 75°
- An isosceles triangle with equal sides 5 cm
Q. If the angles of a triangle are x∘, 2x∘ and 3x∘, then the value of x is _______ .
- 60∘
- 15∘
- 30∘
- 90∘
Q. Steps for the construction of a scalene triangle with dimensions as 6 cm, 8 cm, and 10 cm is given below. Choose the correct order.
1. To locate C which is 8 cm from A and 6 cm from B, we draw circles of 8 cm and 6 cm centered at A and B respectively using a compass.
2. Draw AB of length 10 cm using a ruler.
3. Join BC and AC to get triangle ABC.
4. The two circles meet at two different points, one on upside and other on downside. Pick any of them and name it as C.
1. To locate C which is 8 cm from A and 6 cm from B, we draw circles of 8 cm and 6 cm centered at A and B respectively using a compass.
2. Draw AB of length 10 cm using a ruler.
3. Join BC and AC to get triangle ABC.
4. The two circles meet at two different points, one on upside and other on downside. Pick any of them and name it as C.
- 2, 1, 3, 4
- 1, 2, 4, 3
- 1, 2, 3, 4
- 2, 1, 4, 3
Q. Steps for the construction of a scalene triangle with dimensions as 6 cm, 8 cm, and 10 cm is given below. Choose the correct order.
1. To locate C which is 8 cm from A and 6 cm from B, we draw circles of 8 cm and 6 cm centered at A and B respectively using a compass.
2. Draw AB of length 10 cm using a ruler.
3. Join BC and AC to get triangle ABC.
4. The two circles meet at two different points, one on upside and other on downside. Pick any of them and name it as C.
1. To locate C which is 8 cm from A and 6 cm from B, we draw circles of 8 cm and 6 cm centered at A and B respectively using a compass.
2. Draw AB of length 10 cm using a ruler.
3. Join BC and AC to get triangle ABC.
4. The two circles meet at two different points, one on upside and other on downside. Pick any of them and name it as C.
- 2, 1, 3, 4
- 1, 2, 4, 3
- 1, 2, 3, 4
- 2, 1, 4, 3
Q.
Draw triangles with sides as given below.
AB = 5 cm, BC = 7 cm, CA = 8 cm