Construction of Circumcircle of a Triangle

Q.

Triangle ABC is constructed with AB = 4 cm, ∠CAB = ${45}^0$ and BC = 2.92 cm. Two perpendicular bisectors are drawn of side AB and BC intersecting at point O. The length of OA is:

1. 3 cm

2. 4 cm

3. 5 cm

4. 2 cm

Q.

Triangle ABC is constructed with AB = 4 cm, ∠CAB = ${45}^0$ and BC = 2.92 cm. Draw two perpendicular bisectors of side AB and BC. These two bisectors will intersect at a point. State whether True or False.

1. True

2. False

Q.

Construct a triangle whose sides are 13 cm, 12 cm and 5 cm. [4 MARKS]

Q. Draw a triangle ∆PRS with the measures given below.
RS = 5.5 cm, RP = 4.2 cm, ∠R = ${90}^{\circ }$

Q. Draw triangles with the measures given below.

In$△FUN,l\left(FU\right)=5$ cm, $l\left(UN\right)=4.6$ cm, $m\angle U={110}^{\circ }.$

Q.

Which of the following option does not belong to the construction of circumcircle?

1. Construction of a triangle.

2. Construction of perpendicular bisectors.

3. Construction of circle with radius 2OD. (D is the midpoint of BC)

4. None of these

Q. Construct a triangle PQR, given that PQ = 5 cm and $\angle QPR={60}^{\circ }$and $\angle QRP={45}^{\circ }$.

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.

Construct $△\mathrm{ABC}$, in which $\mathrm{AB}=5.5\mathrm{cm}$, $\mathrm{BC}=5.2\mathrm{cm}$ and $\mathrm{AC}=4.3\mathrm{cm}.$

Q. On constructing a triangle PQR with the given side PQ = 15 ft, ∠P = 40° and ∠R = 50°, find the measure of ∠Q obtained.

(Scale: 1 in = 3 ft).

1. 130°
2. 80°
3. 60°
4. 90°

Q. Construct a triangle PQR, given that PQ = 5 cm and $\angle QPR={60}^{\circ }$and $\angle QRP={45}^{\circ }$.

Q. Construct △DEF such that DE = 12 cm, DF = 5 cm and ∠EDF = 90⁰. Also, measure the length of the side EF. [3 Marks]

Q. On constructing a triangle PQR with the given side PQ = 15 ft, ∠P = 40° and ∠R = 50°, find the measure of ∠Q obtained.

(Scale: 1 in = 3 ft).

1. 130°
2. 90°
3. 60°
4. 80°