SSS Construction

Q. In what ratio does the centroid of the triangle divide each median of the triangle?

1. 2 : 1
2. 3 : 1
3. 4 : 1
4. 5 : 1

Q.

One of the angles of a triangle is equal to the sum of the other two angles. If the ratio of the other two angles of the triangle is 4:5, find the angels of the triangle.

Q. One angle of a triangle is 40 degree and the other two angles are equal. Then the measure of the equal angles is __

1. 44 degree each
2. 50 degree each
3. 60 degree each
4. 70 degree each

Q.

If I have a quadrilateral PQRS, how many triangles are there in the quadrilateral in which I must have one of the diagonals as a side.

1. 3

2. 4

3. 1

4. 2

Q. If you are looking at a triangle where the orthocenter, the centroid and the circumcenter lie at the same point, what type of triangle are you looking at?

1. Scalene triangle
2. Isosceles triangle
3. Equilateral triangle
4. Right-angled triangle

Q.

Construct a triangle ABC, in which AB = 4.5 cm, AC = 5.5 cm and ∠BAC = 75°.

Q. Draw ∆ ABC such that l (BC) = 5.5 cm, m∠ABC = 90$°$, l (AB) = 4 cm. Show the orthocentre of the triangle.

Q.

If three angles of a triangle are in the ratio 2: 3: 5, determine three angles.

Q. One angle of a triangle is 40 degree and the other two angles are equal. Then the measure of the equal angles is __

1. 44 degree each
2. 50 degree each
3. 70 degree each
4. 60 degree each

Q.

If a quadrilateral with 4 sides and a diagonal is given, which of the following conditions is used in the construction?

1. SSS

2. SAS

3. ASA

4. AAS

Q.

Construct a triangle PQR in which PQ = 4 cm, QR = 4.5 cm and ∠Q = 60°.

Q.

Goutham took random measurements of sides viz. 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. Right angle triangle can be formed using these measurements.

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

3. Any type of triangle can be formed using these measurements.
4. You cannot construct any type of triangle using these measurements.

Q.

Construct a triangle XYZ in which XY = 5 cm, YZ = 5.5 cm and ∠XYZ = 100°.

Q.

Construct a triangle PQR, given that PQ = 5.6 cm, PR = 7 cm and QR = 4.5 cm.

Q.

Construct an equilateral triangle of side 4.8 cm.

Q.

Construct a triangle ABC in which AB = 3.5 cm, AC = 4 cm and length of the perpendicular from A to BC is 3 cm.

Q.

If the measures of the angles of a triangle are in the ratio 1:2:3, then how can the triangle be classified?

1. Right-angled and isosceles

2. Right-angled and scalene

3. Acute-angled and scalene

4. Acute-angled and isosceles

Q.

Construct a triangle ABC in which AB = 5 cm and BC = 4.6 cm and AC = 3.7 cm.

Q.

If triangle ABC is right angled at A and AB = AC then find the value of angle B and angle C.

1. angle B = angle C = 90 degrees

2. angle B = angle C = 65 degrees

3. angle B = 35 degrees and angle C = 55 degrees

4. angle B = angle C = 45 degrees

Q.

Construct an isosceles triangle ABC in which base BC = 4.5 cm and altitude from A on BC is 3.8 cm.

Q.

The three angles of a triangles are in the ratio 1 : 3 : 5. How much is each angle?

Q. A triangle can be constructed if the measurement of three sides of 2 cm, 4 cm and 1 cm is given.

1. False
2. True

Q.

Construct a triangle ABC in which AB = 5 cm, BC = 4.7 cm and AC = 4.3 cm.

Q.

A triangle can have $\underset{⏝}{}$ median(s).

Q.

Construct a triangle PQR in which PQ = 5.4 cm, QR = 5.5 cm and ∠PQR = 55°.

Q.

If a quadrilateral with 4 sides and a diagonal is given, which of the following conditions is used in the construction?

1. SAS

2. ASA

3. SSS

4. AAS

Q.

Construct a triangle XYZ in which XY = 7.8 cm, YZ = 4.5 cm and XZ = 9.5 cm.

Q. If the sum of two angles of a triangle is 120 degree then what is the value of the third angle?

1. 60 degree
2. 80 degree
3. 40 degree
4. 30 degree

Q.

If we join a vertex to a point on the opposite side that divides that side in the ratio $1:1,$then what is the special name of that line segment?

1. Median

2. Angle bisector

3. Altitude

4. Hypotenuse

Q.

Construct an isosceles triangle ABC in which base BC = 6.5 cm and altitude from A on BC is 4 cm.