Construction of a Triangle with SAS Criterion
Trending Questions
Q.
For constructing a triangle, we must know two sides and included angle. Which triangle can be uniquely constructed by knowing two sides and any other angle?
Isosceles triangle
Equilateral triangle
Right angled triangle
Scalene triangle
Q.
In an isosceles ΔABC, ∠A is 30∘. The sides AB and AC are equal. Using constructions, find which side of ΔABC is the shortest.
AC
AB
Data Insufficient
BC
Q. Given two sides and an angle, a triangle can be formed.
- included
- excluded
- interior
Q. In △ XYZ , ¯¯¯¯¯¯¯¯¯XY =6.3 cm and ¯¯¯¯¯¯¯¯¯XZ = 7 cm. Which is the correct information needed to construct the triangle?
- ∠ X = 85°
- ∠ Y = 50°
- ∠ Z = 45°
- None of the above
Q. Given AB = 3 cm, AC = 5 cm and ∠B=30∘, ΔABC cannot be uniquely constructed, with AC as base, why?
- Two sides and included angle are given.
- The other two angles are not given.
- The vertex B cannot be uniquely located.
- The vertex A coincides with the vertex C.
Q. In △ CDE , ∠ C = 30° and ¯¯¯¯¯¯¯¯¯CD = 8 cm. Which is the correct information needed to construct the triangle?
- △ CDE is an isosceles triangle with base ¯¯¯¯¯¯¯¯¯DE
- △ CDE is right angled at ∠E
- ¯¯¯¯¯¯¯¯¯DE = 11 cm and ∠ E = 80°
- None of the above
Q.
Which angle of △POQ corresponds to ∠OSR of △ROS ?

- ∠OQP
- ∠QPO
- ∠POQ
- None of the above
Q. By which congruence rule are triangle PRQ and triangle TRS congruent?
- RHS
- ASA
- SAS
- SSS
Q. Given two sides and an angle, a triangle can be formed.
- included
- excluded
- interior
Q.
In an isosceles ΔABC, ∠A is 30∘. The sides AB and AC are equal. Using constructions, find which side of ΔABC is the shortest.
BC
AC
Data Insufficient
AB