Construction of a Triangle (3 Sides)

Q.

A line segment drawn perpendicular from the vertex of a triangle to the opposite side is called the

1. Perpendicular

2. Median

3. Altitude

4. Bisector

Q.

Construct an equilateral triangle of side 5 cm without using protractor.
[2 MARKS]

Q.

Prove that an equilateral triangle can be constructed on any given line segment

Q.

Draw the perpendicular bisector of a line segment of length 10 cm. Find the point on the bisector, which along with the line segment forms an equilateral triangle.

Q.

Consturuct an equilateral triangle , each of whose sides measures 5 cm.

Q.

Draw the quadrilateral ABCD with AB = 8.5 cm, BC = 4.5 cm, CD = 5 cm, DA = 6 cm, BD = 7.5 cm. Compute its area by drawing a triangle of equal area.

Q.

Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.

Q.

Can the side lengths 3cm, 4cm, 10cm form a triangle? State with true or false.

1. False

2. True

Q. Construct a $\Delta$PQR with QR = 8 cm, PQ = 7 cm, PR = 5 cm. Construct the incircle of the triangle and find the radius of the incircle.

1. 1.3 cm
2. 1.5 cm
3. 1.7 cm
4. 1.9 cm

Q.

$\text{Construt a}\Delta ABC\text{in which BC=5cm, AB=3.8cm, and AC=2.6cm.Bisect the largest angle of this triangle.}$

Q.

Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 5.4 cm, DA = 5.9 cm and diagonal AC = 8 cm? If not, why?

Q.

The length of two sides of a triangle are 6m and 4m. If the sum of length of all sides of the triangle is 16 m. Can you find the length of third side and what type of triangle it is.

1. 6 m, Isosceles triangle

2. 4 m, equilateral triangle

3. 6 m, equilateral triangle

4. 4 m, Isosceles triangle

Q. Question 4
Construct a triangle whose sides are 3.6cm , 3.0cm and 4.8cm. bisects the smallest angle and measure each part.

Q.

Draw a triangle with sides 4 centimetres, 5 centimetres and 6 centimetres and draw its circum-circle.

Q. Construct an equilateral triangle of side 5 cm.

Q.

On a line segment with length 7 cm, draw an arc at one end with radius 3 cm and another arc at the other end with radius 4 cm. The two arcs drawn will intersect at a point. State True or False.

1. True

2. False

Q.

Sum of two sides in a triangle is greater than the third side. Is this statement true or false?

1. True

2. False

Q. In $△$PQR, PQ = 4 cm and QR = 6 cm. What can be the length of the third side PR. Find the minimum and maximum possible lengths of side PR.

Q. Construct an equilateral triangle each of whose sides measures 5 cm.

Q.

Which of the following can be the length of BC required to construct the triangle ABC such that AC = 6.7 cm and AB = 5.3 cm?

1. 8 cm

2. 5 cm

3. 6 cm

4. 9 cm

Q. Construct an isosceles triangle whose base is 6 cm and whose vertical angle 18 75°.

Q.

Construct a $△ABC$ in which $AB=6.5cm$$,BC=6.2cmandAC=5.3cm$.

Q.

Mia took random measurements of sides i.e. AB = 3cm, BC = 5cm and AC = 8.5cm and started constructing a triangle ABC. Will she able to construct a triangle?

1. False

2. True

Q. Draw $∆$PQR in which QR = 5 cm, PR $-$ PQ = 2.5 cm $\angle$Q $-$$\angle$R = 52$°$

Q.

Draw a line segment with length 7 cm. Now, draw arcs at one end with radius 3 cm and another end with radius 4 cm. The two arcs drawn will intersect at a point.

1. True

2. False

Q.

Is it possible to construct a triangle ABC when BC = 7cm, ∠B = 60° and AB - AC = 13 cm?

1. Yes, it is possible.

2. Information insufficient

3. No, it is not possible.

4. Can be constructed

Q.

The sum of all the angles of a triangle is ___ degrees.

Q.

To construct a parallelogram whose one side and two diagonals are given, which property of the parallelogram do we use?

1. Opposite sides are equal.

2. Diagonals bisect each other at ${90}^{\circ }$.

3. Diagonals bisect each other.

4. Opposite angles are equal.

Q.

Goutham took random measurements of sides i.e. AB = 3 cm, BC = 5 cm, and AC = 8.5 cm and started constructing a triangle ABC. Which of the following statement is correct?

1. Any type of triangle can be formed using these measurements.

2. Right angle triangle can be formed using these measurements.

3. You cannot construct any type of triangle using these measurements.

4. Acute angle triangle can be formed using these measurements.

Q.

Consturuct an equilateral triangle , each of whose sides measures 5 cm.