Page 52 - Mathematics Class - IX

Viva-Voce

1. Which type of triangle has any two sides equal?
Ans. Isosceles triangle
2. Which type of triangle has all sides equal?
Ans. Equilateral triangle

3. Does sum of any two sides of a triangle is always smaller than the third side?
Ans. No, because the sum of any two sides of a triangle is always greater than the third side.
4. Does the longer side has the smaller angle opposite to it in a triangle?
Ans. No, the longer side has the greater angle opposite to it in a triangle.

5. In a right-angled triangle, which one is the longest side?
Ans. Hypotenuse
6. In a triangle ABC, if AB = BC and ∠B = 70° then what is the value of ∠A?

Ans.  AB = BC A
So, ∠A = ∠C
 ∠A + ∠B + ∠C = 180°
or ∠A + 70° + ∠A = 180° 70°
B C
or 2∠A = 180° – 70° = 110°
or ∠A = 55°

MCQs

1. What is the shortest distance between a point and a line?
a) any distance b) perpendicular distance

c) not particular distance d) none of these
2. Is a triangle possible if its three sides measure 5, 12 and 13 units?
a) Not possible b) Yes c) Can’t say d) None of these
3. In a ∆XYZ, ∠X = 95°, ∠Y = 60°, what will be the smallest side of ∆XYZ?

a) XY b) YZ c) XZ d) None of these
4. Is the obtuse right triangle possible?
a) No b) Yes c) Can’t say d) None of these
5. What is the relationship between the difference of two sides and third side in a ∆PQR?

a) Difference of two sides < third side b) Difference of two sides > third side
c) Difference of two side = third side d) None of these

Answers: 1. b) Perpendicular distance 2. b) Yes 3. a) XY 4. a) No

5. a) Difference of two sides < third side

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