Construction of Triangles Given 2 Sides and 1 Angle
Trending Questions
Construct a triangle ABC in which BC is 8 cm, Angle B is 75∘ and AB + AC = 15cm by using method of perpendicular bisector. [4 MARKS]
Construct a triangle in which , and .
△ABC is constructed such that AB = 4 cm, BC = 5 cm and ∠A = 70∘. Taking side BC as base, another triangle BCD is constructed such that length of side BD is 3 cm and length of side CD is 3 cm. Then ∠DBC + ∠DCB equals
58∘
68∘
78∘
88∘
- BC = 4 cm, CA = 3 cm
- ∠ A=60∘, ∠ B=30∘
- ∠ C=60∘, BC = 3 cm
- BC = 7 cm , ∠ B=30∘
△ABC is constructed such that AB = 5.5 cm, BC = 6 cm and ∠A = 60∘. Then the difference between the measure of ∠B and ∠C is
7∘
12∘
14∘
17∘
Draw a triangle with side and . Then construct a triangle whose sides are of the corresponding sides of the triangle . Give the justification of the construction
Construct a triangle having two sides as 6 cm & 1 cm and a non - included angle as 60∘. How many such triangle is possible ?
2
1
3
0
State whether the following statements are true (T) or false (F):
(iii) The number of angles in a triangle is a variable.
- True
- False
- 1
- 2
- 3
- 4
△ABC is constructed such that AB = 4 cm, BC = 4.5 cm and ∠A = 30∘. Then the length of side AC is
5.5 cm
6.3 cm
7.5 cm
8.4 cm
In △ABC, AB=6 cm, BC=7 cm and ∠A=60o
Which among the given options must be the length of side AC for triangle construction to be possible, if length of side AB is 6 cm and ∠ B = 70∘?
6 cm
3 cm
4 cm
5 cm
A triangle is constructed such that one of its side 10 cm, another side is of length 9 cm and the angle opposite to the side of length 9 cm is 60∘. This construction results in the formation of two triangles. Let us call the third vertex of the smaller triangle as C1 and the third vertex of the bigger triangle as C2, as shown in the image below.
(image here)
Then x∘ + y∘ equals
89∘
78∘
82∘
86∘
A triangle is constructed such that one of its side 8 cm, another side is of length 5.5 cm and the angle opposite to the side of length 5.5 cm is 40∘. This construction results in the formation of two triangles. Let us call the third vertex of the smaller triangle as C1 and the third vertex of the bigger triangle as C2, as shown in the image below.
Then x∘ + y∘ equals
120∘
140∘
160∘
180∘
- All four shapes
- Exactly three of the four shapes
- Exactly two of the four shapes
- Exactly one of the four shapes
A triangle is constructed such that the length of its two sides are 7 cm and 2.5 cm and the angle opposite to the side of length 2.5 cm is 15∘. This construction results in the formation of two triangles. Then the perimeter of the so formed obtuse angled triangle is
9.5 cm
11 cm
20.5 cm
18 cm
- 7.7 cm
- 6.7 cm
- 7.6 cm
- 5.7 cm
Prove that If the area of △DFB=3 cm2, find the area (in cm2) of ||gm ABCD.
- right
- acute
- obtuse
- left
Construction of a triangle with the following specifications is possible.
Length of side AB = 8 cm, Length of side BC = 3 cm and ∠A = 40∘.
True
False
AB = 5cm
∠B=90∘ and BC =5cm
Find the midpoint of a line segment of AB = 8 cm , With AB as base construct an isoceles triangle of 2 equal angles having value of 40∘ [3 MARKS]
Draw a triangle ABC in which AB=4.5 cm, BC=6 cm and ∠B=80∘.