The sides of a triangle have length (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is

1

(a)

6

(b)

5

(c)

3

(d)

4

The perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm, is

1

(a)

42 cm

(b)

49 cm

(c)

89 cm

(d)

98 cm

In a \(\triangle ABC\) if \(\angle A=60^0\) and \(\angle B=30^0\) then the exterior angle formed by producing BC is equal to

1

(a)

180°

(b)

99°

(c)

90°

(d)

105°

Angles of a triangle are in the ratio 1 : 2 : 3. The smallest angle is :

1

(a)

15°

(b)

90°

(c)

60°

(d)

30°

The exterior angle of a triangle is 120° and one of its interior opposite angle is 70°. Find the measure of its other interior opposite angle?

1

(a)

90°

(b)

50°

(c)

60°

(d)

100°

Measures of each of the angles of an equilateral triangle is____________.

1

(a)

60^°

If one angle of a triangle is equal to the sum of other two, then the measure of that angle is_____________.

1

(a)

90^°

Every triangle has at least _________ acute angle (s).

1

(a)

Two

Two line segments are congruent, if they are of ________ lengths.

1

(a)

Equal/same

Two angles are said to be _______, if they have equal measures.

1

(a)

Equal/coiners

Sum of any two angles of triangle is always greater than the third angle.

1

(a) True

(b) False

Sum of the measures of three angles of a triangle is greater than 180°.

1

(a) True

(b) False

It is possible to have a right angled equilateral triangle.

1

(a) True

(b) False

It is possible to have a triangle in which each angle is less than 60°.

1

(a) True

(b) False

The difference between the length of any two sides of a triangle is smaller than the length of third side.

1

(a) False

(b) True

Find the angles of a triangle which are in the ratio 2: 3: 5.

1

(a)

Let the angles be 2x, 3x and 5x
\(\therefore\)2x + 3x + 5x = 180°
\(\Rightarrow\)        10x = 180°
\(\Rightarrow\)            x = 18°
Angles are 36, 54, 90.

If two angles of a triangles are equal and the third angle measures 110°, then find the measure of each angle.

1

(a)

Let the angles be 110,x, x.
\(\therefore\)      x + x + 110° = 180°
\(\Rightarrow\)   2x = 180°- 110°
\(\Rightarrow\)  2x = 70°
\(\Rightarrow\)    x = 35°

What is the name of side opposite to the angle 90° in a right angles triangle?

1

(a)

Hypotenuse.

How many right angles does a right triangle has?

1

(a)

One.

What do we call a triangle whose each angle is 60°?

1

(a)

Equilateral