Classification of Triangles Based on Sides and Angles

Q.

If the lengths of three sides are given, you can always draw a unique triangle. Say true or false.

1. True

2. False

Q.

If you have three sides, you can always draw a unique triangle. Say true or false.

1. True

2. False

Q.

If you have three sides, you can always draw a unique triangle.

1. True

2. False

Q. One side of a triangle is 6 cm long and one angle measures 55 degrees. Find the other angles of the triangle.

1. 55 degrees and 63 degrees
2. 24 degrees and 65 degrees
3. 89 degrees and 31 degrees
4. Cannot be determined

Q. A triangle PQR is constructed with PQ = 10 cm, PR = 8 cm and $\angle P={90}^{\circ }$. Identify the correct classification of $\Delta$ PQR.

1. Based on sides - Scalene ; Based on angle - Right angled
2. Based on sides - Isosceles; Based on angle - Acute angled
3. Based on sides - Scalene ; Based on angle - Acute angled
4. Based on sides - Isosceles ; Based on angle - Right angled

Q. Which vertex of $\Delta$ABC is right angled if $\overline{AB}$ = 8 cm, $\overline{AC}$ = 6 cm, and $\overline{BC}$ = 10 cm?

1. $\angle C$
2. $\angle A$
3. $\angle B$
4. $AorC$

Q.

To draw a right angle triangle:

1. The length of one side is needed

2. The measure one more angle is needed

3. The length of any two sides is needed

4. The length of hypotenuse is needed

Q.

Which of the following data is not sufficient to draw a unique triangle?

1. Side, Side, Angle

2. Side, Angle, Side

3. Angle, Angle, Angle

4. Angle, Angle, Side

Q. A triangle PQR is constructed with PQ = 10 cm, PR = 8 cm and $\angle P={90}^{\circ }$. Identify the correct classification of $\Delta$ PQR.

1. Based on sides - Scalene ; Based on angle - Right angled
2. Based on sides - Isosceles; Based on angle - Acute angled
3. Based on sides - Scalene ; Based on angle - Acute angled
4. Based on sides - Isosceles ; Based on angle - Right angled

Q.

If you have three sides, you can always draw a unique triangle.

1. True

2. False

Q. Which vertex of $\Delta$ABC is right angled if $\overline{AB}$ = 8 cm, $\overline{AC}$ = 6 cm, and $\overline{BC}$ = 10 cm?

1. $\angle C$
2. $\angle A$
3. $\angle B$
4. $AorC$

Q. Which vertex of $\Delta$ABC is right angled if $\overline{AB}$ = 8 cm, $\overline{AC}$ = 6 cm, and $\overline{BC}$ = 10 cm?

1. $\angle C$
2. $\angle A$
3. $\angle B$
4. $AorC$

Q. A triangle PQR is constructed with PQ = 10 cm, PR = 8 cm and $\angle P={90}^{\circ }$. Identify the correct classification of $\Delta$ PQR.

1. Based on sides - Scalene ; Based on angle - Right angled
2. Based on sides - Isosceles; Based on angle - Acute angled
3. Based on sides - Scalene ; Based on angle - Acute angled
4. Based on sides - Isosceles ; Based on angle - Right angled

Q. A triangle PQR is constructed with PQ = 10 cm, PR = 8 cm and $\angle P={90}^{\circ }$. Identify the correct classification of $\Delta$ PQR.

1. Based on sides - Isosceles; Based on angle - Acute angled
2. Based on sides - Isosceles ; Based on angle - Right angled
3. Based on sides - Scalene ; Based on angle - Right angled
4. Based on sides - Scalene ; Based on angle - Acute angled

Q. Which vertex of $\Delta$ABC is right angled if $\overline{AB}$ = 8 cm, $\overline{AC}$ = 6 cm, and $\overline{BC}$ = 10 cm?

1. $AorC$
2. $\angle C$
3. $\angle A$
4. $\angle B$

Q.

Which of the following data is not sufficient to draw a unique triangle?

1. Side, Side, Angle

2. Side, Angle, Side

3. Angle, Angle, Angle

4. Angle, Angle, Side

Q. Which vertex of $\Delta$ABC is right angled if $\overline{AB}$ = 8 cm, $\overline{AC}$ = 6 cm, and $\overline{BC}$ = 10 cm?

1. $\angle C$
2. $\angle A$
3. $\angle B$
4. $AorC$

Q. A triangle PQR is constructed with PQ = 10 cm, PR = 8 cm and $\angle P={90}^{\circ }$. Identify the correct classification of $\Delta$ PQR.

1. Based on sides - Scalene ; Based on angle - Right angled
2. Based on sides - Isosceles; Based on angle - Acute angled
3. Based on sides - Scalene ; Based on angle - Acute angled
4. Based on sides - Isosceles ; Based on angle - Right angled

Q. A triangle PQR is constructed with PQ = 10 cm, PR = 8 cm and $\angle P={90}^{\circ }$. Identify the correct classification of $\Delta$ PQR.

1. Based on sides - Scalene ; Based on angle - Right angled
2. Based on sides - Isosceles; Based on angle - Acute angled
3. Based on sides - Scalene ; Based on angle - Acute angled
4. Based on sides - Isosceles ; Based on angle - Right angled