Olympiad – Class VII – Mathematics - Triangles

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Question - 1

In a \(\triangle\) ABC, if AB2 = BC2+ AC2, at which vertex is the right angle?

  • A A
  • B B
  • C C
  • D Either A or B

Question - 2

Which type of triangle is formed by BC= 7.2 cm, AC = 6 cm and\(\angle\)C = 120o?

  • A An acute angled triangle.
  • B An obtuse angled triangle .
  • C A right angled triangle
  • D An isosceles triangle

Question - 3

Which triangle is formed by AB = 3 cm, BC = 4 cm and AC = 8 cm?

  • A A scalene triangle
  • B An isosceles triangle.
  • C An equilateral triangle.
  • D No triangle is formed.

Question - 4

If two angles in a triangle are 65° and 85°, what is the third angle?

  • A 30°
  • B 45°
  • C 60°
  • D 90°

Question - 5

If one angle is the average of the other two angles and the difference between the greatest and least angles is 60°, which triangle is formed?

  • A An isosceles triangle
  • B An equilateral triangle.
  • C A right angled triangle
  • D A right angled isosceles triangle.

Question - 6

In \(\triangle\) ABC, if AB = BCand \(\angle\)B = 80°, what is the measure of\(\angle\)C?

  • A 50°
  • B 100°
  • C 130°
  • D 180°

Question - 7

Which triangle is formed BC = AC = 7.2 cm and\(\angle\)C = 90°?

  • A A right angled triangle.
  • B An isosceles triangle.
  • C A right angled isosceles triangle.
  • D No triangle is formed.

Question - 8

Which of the following statements is false?

  • A The sum of two sides of a triangle is greater than the third side.
  • B In a right angled triangle, hypotenuse is the longest side
  • C A, Band C are collinear if AB+ BC=AC.
  • D The sum of angles in a triangle is less than 180°.

Question - 9

What is the length of the hypotenuse of a right angled triangle whose two legs measure 12 cm and 0.35 m?

  • A 37 cm
  • B 3.72 cm
  • C 0.372 cm
  • D 37 m

Question - 10

If the two legs of a right angled triangle are equal and the square of the hypotenuse is 100 sq units, what is the length of each leg?

  • A 10 units
  • B 5\(\sqrt{2}\) units
  • C 10\(\sqrt{2}\) units
  • D 15 units