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MATHS MCQ

Triangles and its Properties · ICSE STD 7 (ICSE - English Medium). 15 questions.

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15 questions · timed · auto-graded

MCQ 11 Mark
If p, q, and r are the lengths of the three sides of a triangle, then which of the following statements is correct?
  • A
    $p + q=r$
  • B
    $p + q < r$
  • C
    $p + q > r$
  • D
    $p-q > r$
Answer
$p + q > r$
($\because$ Sum of any two sides of a triangle is greater than its third side)
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MCQ 21 Mark
If the dimensions of a rectangle are $15\  m$ and $8\ m$, then the length of a diagonal is
  • A
    $7 \ m$
  • B
    $23\  m$
  • ✓
    $17\  m$
  • D
    $20\  m$
Answer
Correct option: C.
$17\  m$
If the dimensions of a rectangle are $15 \ m$ and $8\ m,$
then the length of a diagonal is $17\ m$.
$(\because 17^2 = 8^2 + 15^2) \ (c)$
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MCQ 31 Mark
In a right$-$angled triangle, the lengths of two leg’s are $6 \ cm$ and $8 \ cm.$ The length of the hypotenuse is
  • A
    $14 \ cm$
  • ✓
    $10 \ cm$
  • C
    $11 \ cm$
  • D
    $12 \ cm$
Answer
Correct option: B.
$10 \ cm$
In a right$-$angled triangle,
the lengths of two legs are $6 \ cm$ and $8 \ cm.$
The length of the hypotenuse is $10 \ cm.$
$(\because \text { Hypotenuse }$
$\quad=\sqrt{\text { Sum of squares on the two legs })}$
$\quad=\sqrt{(6)^2+(8)^2}=\sqrt{36+64}$
$\quad=\sqrt{100}=10 \ cm $
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MCQ 41 Mark
Which of the following can be the length of the third side of a triangle whose two sides measure 18 cm and 14 cm?
  • A
    32 cm
  • B
    3 cm
  • C
    4 cm
  • D
    5 cm
Answer
The length of the third side of a triangle
whose two sides measure 18 cm and 14 cm = 5 cm (d)
(∵ The sum of any two sides must be greater than its third side)
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MCQ 51 Mark
A triangle is not possible with sides of lengths (in cm)
  • A
    $6,4,10$
  • B
    $5,3,7$
  • C
    $7,8,9$
  • D
    $3.6,5.4,8$
Answer
A triangle is not possible with sides of lengths (in cm) 6, 4, 10. (a)
(Sum of two sides must be greater than its third side)
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MCQ 61 Mark
If in an isosceles triangle, each of the base angles is 40°, then the triangle is
  • A
    right-angled triangle
  • B
    acute-angled triangle
  • C
    obtuse-angled triangle
  • D
    isosceles right-angled triangle
Answer
If in an isosceles triangle, each of the base angles is 40°,
then the triangle is an obtuse angled triangle. $text{(c)}$
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MCQ 71 Mark
A triangle is not possible whose angles measure
  • A
    40°, 65°, 75°
  • B
    50°, 56°, 74°
  • C
    72°, 63°, 45°
  • D
    67°, 42°, 81°
Answer
A triangle is not possible whose angles measure 67°, 42°, 81°. (d)
(Sum is more than 180°)
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MCQ 81 Mark
A triangle whose angles measure 35°, 35° and 90° is
  • A
    acute angled
  • B
    right-angled
  • C
    obtuse-angled
  • D
    isosceles
Answer
A triangle whose angles measure 35°, 35° and 90° is right-angled. (b)
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MCQ 91 Mark
A triangle can have two
  • A
    right angles
  • B
    obtuse angles
  • C
    acute angles
  • D
    straight angles
Answer
A triangle can have two acute angles. $\text{(c)}$
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MCQ 101 Mark
A triangle whose two angles measure 30° and 120° is
  • A
    scale
  • B
    isosceles
  • C
    equilateral
  • D
    none of these
Answer
A triangle whose two angles measure 30° and 120° is an isosceles triangle. (b)
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MCQ 111 Mark
If the angles of a triangle are 35°, 35°, and 110°, then it is
  • A
    an isosceles triangle
  • B
    an equilateral triangle
  • C
    a scalene triangle
  • D
    right-angled triangle
Answer
If the angles of a triangle are 35°, 35°, and 110°, then it is an isosceles triangle. (a)
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MCQ 121 Mark
In a ∆ABC, if ∠A = 40° and ∠B = 55° then ∠C is
  • A
    75°
  • B
    80°
  • C
    95°
  • D
    85°
Answer
In a ∆ABC, if ∠A = 40° and ∠B = 55° then ∠C is 180° – (40° + 55°) = 180° – 95° = 85° (d)
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MCQ 131 Mark
An exterior angle of a triangle is 125°. If one of the two interior opposite angles is 55° then the other interior opposite angle is
  • A
    70°
  • B
    55°
  • C
    60°
  • D
    80°
Answer
An exterior angle of a triangle is 125°.
If one of the two interior opposite angles is 55°
then the other interior opposite angle is 125° – 55° = 70° (a)
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MCQ 151 Mark
A triangle formed by the sides of lengths 4.5 cm, 6 cm, and 4.5 cm is
  • A
    scalene
  • B
    isosceles
  • C
    equilateral
  • D
    none of these
Answer
A triangle formed by the sides of lengths
4.5 cm, 6 cm, and 4.5 cm is isosceles. (b)
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