Construction of Triangle 1

Q.

$\text{To construct a triangle ABC in which}\text{BC = 5 cm and}\angle B={60}^{\circ }\text{and}\text{AB + AC = 8 cm. What is the length of}\text{BD used in the construction?}$

1. 10 cm
2. 7 cm
3. 20 cm
4. 8 cm

Q. How to construct incircle of triangle.

Q. To construct a triangle, given its base, a base angle and the sum of the other two sides, the property of a/an _________ triangle is used.

1. equilateral
2. scalene
3. right-angled
4. Isosceles

Q. A right angled triangle ABC is constructed with BC = 3 $\mathrm{cm}$ and AB + AC = 9$\mathrm{cm}$. If B is the right angled, then find the length of AC (in cm).

1. 5

Q. To construct a triangle, the sum of any two sides must be _______ than the third side.

1. greater
2. equal
3. smaller
4. lesser

Q. $\text{To construct a triangle ABC in which}\text{BC = 5 cm and}\angle B={60}^{\circ }\text{and}\text{AB + AC = 8 cm. What is the length of}\text{BD used in the construction?}$

1. 8

Q. Construct a right triangle whose base is 8 cm and sum of its hypotenuse and other side is 16 cm.

Q. Construct a right triangle whose base is 12 cm and sum of its hypotenuse and the third side is 18 cm. Find the length of the hypotenuse.

1. 5 cm
2. 12 cm
3. 13 cm
4. 20 cm

Q.

To construct a triangle, given its base, a base angle and sum of other two sides, the first step is to draw the base side and one given angle.

1. False

2. True

Q.

The midpoints D and E of the sides AB and AC of an equilateral triangle are joined together to form a line segment DE. If AD = 4cm, then find DE.

1. 2

2. 6

3. 4

4. 8

Q.

Construct a triangle ABC in which BC is 3.5 cm, Angle B is ${75}^{\circ }$ and AB+AC=6.5cm [4 MARKS]

Q.

Construct a triangle ABC in which BC is 6 cm, $\angle B$ is ${70}^{\circ }$ and AB+AC=14cm by using method of perpendicular bisector. [4 Marks]

Q.

To construct a triangle by the method of Triangle Construction 2, the concept of an isoceles triangle is used. What method/step is used to create isoceles triangle during the construction? (2 words)

__

Q. To construct a triangle, given its base, base angle and sum of 2 sides, ___ are perpendicular bisectors drawn.

1. one
2. two
3. three
4. None of the above

Q. Question 5
Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm

Q. Question 12
Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.

Q.

If a triangle in which AB = 4 cm, ∠CAB = ${45}^0$ and BC = 2.92 cm is constructed then the side length of AC is:

1. 2.54 cm

2. 3.54 cm

3. 4.54 cm

4. 4.1 cm

Q. To construct a triangle, the sum of any two sides must be _______ than the third side.

1. lesser
2. greater
3. equal
4. smaller

Q. Construct a right triangle whose base is 8 cm and sum of its hypotenuse and other side is 16 cm.

Q.

The construction shown below accurately represents the formation of an equilateral triangle when the three sides are given.

1. True

2. False

Q.
In the figure, CM is the perpendicular bisector of BD and $\angle ACB={47}^{\circ }$. Value of $\angle BCM$ is

1. 66.5

Q. A right angled triangle ABC is constructed with BC = 3 $\mathrm{cm}$ and AB + AC = 9$\mathrm{cm}$. If B is the right angled, then find the length of AC (in cm).

1. 5

Q. $\text{To construct a triangle ABC in which}\text{BC = 5 cm and}\angle B={60}^{\circ }\text{and}\text{AB + AC = 8 cm. What is the length of}\text{BD used in the construction?}$

1. 8

Q. Draw any right angled triangle. Draw perpendicular bisectors of its perpendicular sides and name their point of intersection as P.

Q. $\text{To construct a triangle ABC in which}\text{BC = 5 cm and}\angle B={60}^{\circ }\text{and}\text{AB + AC = 8 cm. What is the length of}\text{BD used in the construction?}$

1. 8

Q.
In the figure, if $AM$ is the perpendicular bisector of $CD$, is equal to $AC-AB$.

1. BD
2. DM
3. BM
4. AD

Q. Construct a right triangle whose base is 8 cm and sum of its hypotenuse and other side is 16 cm.

Q. We can draw a triangle ABC in which BC is 12cm, $\angle B$ is ${75}^{\circ }$ and AB + AC = 6.5 cm.

1. True
2. False
3. Data insufficient
4. Cannot be determined

Q. In the figure $DE\parallel BC$. Find $AD$.

1. 2.4 cm
2. 3.4 cm
3. 3.6 cm
4. 2.6 cm

Q.

$\text{To construct a triangle ABC in which}\text{BC = 5 cm and}\angle B={60}^{\circ }\text{and}\text{AB + AC = 8 cm. What is the length of}\text{BD used in the construction?}$

1. 8 cm
2. 10 cm
3. 7 cm
4. 20 cm