Constructing a Triangle when Three Sides are Given

Q.

Construct $\Delta ABC$ with AB = 6 cm, BC = 8 cm and AC = 10 cm. What's the measure of $\angle ABC$ ?

1. ${30}^{\circ }$

2. ${60}^{\circ }$

3. ${90}^{\circ }$

4. ${45}^{\circ }$

Q.

Question 3
Construct an isosceles right angled triangle ABC, where $\angle$ ACB=${90}^{\circ }$ and AC = 6cm.

Q.

Question 21
In which of the following cases, a unique triangle can be drawn?
a) AB = 4 cm, BC = 8 cm and CA = 2 cm
b) BC = 5.2 cm, $\angle \text{B}={90}^{\circ }\text{and}\angle \text{C}={110}^{\circ }$
c) XY = 5 cm, $\angle \text{X}={45}^{\circ }\text{and}\angle \text{Y}={60}^{\circ }$
d) An isosceles triangle with the length of each equal side 6.2 cm

Q. Construct $\Delta$LMN such that LM = 6 cm, MN = 7 cm, and NL = 8 cm. Find the measure of $\angle L$.

1. 58°
2. 51°
3. 68°
4. 71°

Q. Question 1
Construct the following and give justification :

A triangle if its perimeter is 10.4cm and two angles are ${45}^{\circ }and{120}^{\circ }$.

Q.

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

1. True

2. False

Q. Construct $\Delta$ABC such that AB = 6 cm, BC = 5 cm, and AC = 9 cm. The measure of $\angle C$ is .

1. 39°
2. 49°
3. 55°

Q. Construct $\Delta$ABC such that AB = 6 cm, BC = 7 cm, and AC = 5 cm. Find the measure of $\angle C$.

1. 67°
2. 57°
3. 64°
4. 49°

Q. Construct $\Delta$LMN such that LM = 6 cm, MN = 7 cm, and NL = 8 cm. Find the measure of $\angle L$.

1. 71°
2. 51°
3. 58°
4. 68°

Q. Construct $\Delta$ABC such that AB = 6 cm, BC = 7 cm, and AC = 5 cm. Find the measure of $\angle C$.

1. 57°
2. 64°
3. 49°
4. 67°

Q. Construct $\Delta$ ABC, given $\angle A={60}^{\circ },\angle B={30}^{\circ }$ and AB = 5.8 cm.

Q.

Which of the following information are needed to draw a unique $\Delta ABC$?

1. Length of AB and AC only

2. Length of AB, AC and BC

3. ∠A, ∠B and ∠C

4. AB, BC and ∠C

Q. $\Delta$ABC is constructed such that AB = 6 cm, BC = 10 cm, and $\angle$A = 90${}^{\circ }$. The length of side AC is .

1. 5 cm
2. 6 cm
3. 8 cm

Q. What is the difference between median and altitude?
$\left[3Mark\right]$

Q. Construct $\Delta$ ABC such that AB = 2.5 cm, BC = 6cm and AC = 6.5 cm. Measure $\angle$ B.

Q. Construct $\Delta$ DEF such that DE = 5 cm, DF = 3 cm and $\angle$ EDF = ${90}^{\circ }$

Q. A triangle can be drawn if the sum of the lengths of any two sides is the third side.

1. less than
2. greater than
3. equal to

Q. A/An triangle can be drawn if we know the length of one side of the triangle.

1. equilateral
2. isosceles
3. right

Q. Two equilateral triangles are always congruent.

1. True
2. False

Q.

Which of the following information are needed to draw a unique $\Delta$ABC?

1. Length of AB and AC only

2. Length of AB, AC and BC

3. ∠A, ∠B and ∠C

4. AB, BC and ∠C

Q. Construct $\Delta$ ABC, given $\angle A={60}^{\circ },\angle B={30}^{\circ }$ and AB = 5.8 cm.

Q. Construct $\Delta$ABC such that AB = 6 cm, BC = 7 cm, and AC = 5 cm. Find the measure of $\angle C$.

1. 67°
2. 57°
3. 64°
4. 49°

Q. Construct $\Delta$ ABC such that AB = 2.5 cm, BC = 6cm and AC = 6.5 cm. Measure $\angle$ B.

Q. Construct $\Delta$ACD such that AC = 5.5 cm, CD = 5 cm, and AD = 5.5 cm. The measure of $\angle A$ is .

1. 62°
2. 54°
3. 64°

Q.

Which of the following information are needed to draw a unique $\Delta ABC$?

1. Length of AB and AC only

2. Length of AB, AC and BC

3. $\angle A$, $\angle B$ and $\angle C$

4. AB, BC and $\angle C$

Q.

Which of the following information are needed to draw a unique $\Delta ABC$?

1. Length of AB and AC only

2. Length of AB, AC and BC

3. $\angle A$, $\angle B$ and $\angle C$

4. AB, BC and $\angle C$

Q. Construct $\Delta$ ABC such that AB = 2.5 cm, BC = 6cm and AC = 6.5 cm. Measure $\angle$ B.