When Three Sides Are Given

Q.

Find a Pythagorean triplet whose one number is $12$.

Q.

If the sides of a triangle are $\text{39 cm, 80 cm, and 89 cm}$, then the triangle formed is a right-angled triangle.

1. True

2. False

Q. Identify the criterion of construction of the equilateral triangle LMN given LM = 6 cm.

1. S.A.S. criterion
2. R.H.S. criterion
3. A.S.A. criterion
4. S.S.S. criterion

Q. Draw a triangle ABC such that BC = 4 cm, AB = 3.5 cm, AC = 4.5 cm.

Q. Steps for the construction of a triangle ABC with sides AB = 5 cm, BC = 4.5 cm and AC = 4 cm is given below. Choose the correct order.

1. With A as centre and radius 4 cm , draw an arc
2. Draw a line segment which is sufficiently long using ruler.
3. Join AC and BC
4. With B as centre radius 4.3 cm, draw another arc cutting the previous arc at C.
5. Locate points A and B on it such that AB = 5 cm.

1. 2, 5, 1, 4, 3
2. 5, 1, 2, 4, 3
3. 2, 5, 1, 3, 4
4. 5, 2, 1, 4, 3

Q.

Draw an equilateral triangle of side 8 cm and its circumscribed circle. Find the radius of this circumscribed circle.

1. 8.4 cm

2. 2.61 cm

3. 4.61 cm

4. 6.0 cm

Q. The exterior angle of a triangle is ______each of its two opposite interior angles.

1. equal to
2. difference of
3. greater than
4. lesser than

Q. In $\Delta XYZ,\overline{XY}>\overline{YZ}>\overline{ZX}$ . Which of the following is the smallest angle?

1. Z
2. Y
3. X = Y = Z
4. X

Q. Draw a triangle ABC such that BC = 4 cm, AB = 3.5 cm, AC = 4.5 cm.

Q. Two equilateral triangles are always congruent.

1. True
2. False

Q. Every isosceles triangle is also an equilateral triangle.

1. False
2. True

Q.

Goutham has been asked to draw a triangle with three lengths given to him. He hasn't checked the given lengths and promised that he will draw the triangle thinking that a triangle can always be constructed with any three lengths. Is it true that a triangle can always be constructed with any three lengths?

1. True

2. False

Q.

Goutham has been asked to draw a triangle with three lengths given to him. He hasn't checked the given lengths and promised that he will draw the triangle thinking that a triangle can always be constructed with any three lengths. Is it true that a triangle can always be constructed with any three lengths?

1. True

2. False

Q. In case of construction of triangles there is no role of congruency of triangles.

1. True
2. False

Q.

Draw an equilateral triangle of side 5 cm and its circumscribed circle. Find the length of the radius.

1. 2.9 cm

2. 3.8 cm

3. 4.9 cm

4. 2.0 cm

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.

Which one of the following is/are correct?

1. x + y + z = A + z

2. x + y + z = A

3. 2A > x + y

4. A > x + y

Q. If any congruency postulates holds true, a unique triangle can be constructed.

1. False
2. True