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Lesson: Classifying Triangles by Sides

Sample Question Videos

Worksheet • 25 Questions • 1 Video

Q1:

What kind of triangles have all sides of the same length?

  • Aequilateral triangles
  • Bright triangles
  • Cscalene triangles
  • Disosceles triangles

Q2:

In triangle 𝐴 𝐡 𝐢 , we have π‘š ∠ 𝐴 = 8 0 ∘ and π‘š ∠ 𝐡 π‘š ∠ 𝐢 = 4 1 : : . What kind of triangle is it?

  • Aan equilateral triangle
  • Ban isosceles triangle
  • Ca scalene triangle

Q3:

What is the type of β–³ 𝐴 𝐡 𝐢 in terms of its side lengths?

  • Aisosceles triangle
  • Bscalene triangle
  • Cequilateral triangle

Q4:

What is the type of β–³ 𝐴 𝐡 𝐢 in terms of its side lengths?

  • Aisosceles triangle
  • Bscalene triangle
  • Cequilateral triangle

Q5:

What is the type of β–³ 𝐴 𝐡 𝐢 in terms of its side lengths?

  • Aisosceles triangle
  • Bscalene triangle
  • Cequilateral triangle

Q6:

If 𝐴 𝐡 = 1 3 c m , 𝐡 𝐢 = 6 c m , and 𝐢 𝐴 = 9 c m , what is the type of β–³ 𝐴 𝐡 𝐢 in terms of its side lengths?

  • Aisosceles triangle
  • Bscalene triangle
  • Cequilateral triangle

Q7:

If 𝐴 𝐡 = 5 c m , 𝐡 𝐢 = 8 c m , and 𝐢 𝐴 = 1 1 c m , what is the type of β–³ 𝐴 𝐡 𝐢 in terms of its side lengths?

  • Aisosceles triangle
  • Bscalene triangle
  • Cequilateral triangle

Q8:

What is the kind of triangle that the points 𝐴 ( βˆ’ 2 , βˆ’ 7 ) , 𝐡 ( 1 , 6 ) , and 𝐢 ( 9 , 6 ) form with respect to its sides?

  • Aequilateral triangle
  • Bscalene triangle
  • Cisosceles triangle

Q9:

What is the kind of triangle that the points 𝐴 ( βˆ’ 2 , βˆ’ 2 ) , 𝐡 ( 4 , 9 ) , and 𝐢 ( 7 , 9 ) form with respect to its sides?

  • Aequilateral triangle
  • Bscalene triangle
  • Cisosceles triangle

Q10:

Suppose that in β–³ 𝐴 𝐡 𝐢 , we have 𝐴 𝐡 = 8 . 5 , 𝐡 𝐢 = 8 . 5 , and 𝐴 𝐢 = 1 1 . What kind of triangle is this, in terms of its side lengths?

  • Aa scalene triangle
  • Ban isosceles triangle
  • Can equilateral triangle

Q11:

Suppose that in β–³ 𝐴 𝐡 𝐢 , we have 𝐴 𝐡 = 6 , 𝐡 𝐢 = 1 3 . 5 , and 𝐴 𝐢 = 1 3 . 5 . What kind of triangle is this, in terms of its side lengths?

  • Aa scalene triangle
  • Ban isosceles triangle
  • Can equilateral triangle

Q12:

In , we have and . What type of triangle is this, in terms of the lengths of its sides?

  • Aisosceles triangle
  • Bequilateral triangle
  • Cscalene triangle

Q13:

In , we have and . What type of triangle is this, in terms of the lengths of its sides?

  • Aisosceles triangle
  • Bscalene triangle
  • Cequilateral triangle

Q14:

What type of triangle is β–³ 𝐴 𝐡 𝐢 , in terms of its side lengths?

  • Aisosceles triangle
  • Bscalene triangle
  • Cequilateral triangle

Q15:

What type of triangle is β–³ 𝐴 𝐡 𝐢 , in terms of its side lengths?

  • Aisosceles triangle
  • Bscalene triangle
  • Cequilateral triangle

Q16:

In the following figure,  𝐡 𝐷 bisects ∠ 𝐡 . Determine the type of β–³ 𝐸 𝐡 𝐷 in terms of its side lengths.

  • Ascalene triangle
  • Bisosceles triangle
  • Cequilateral triangle

Q17:

In the following figure,  𝐡 𝐷 bisects ∠ 𝐡 . Determine the type of β–³ 𝐸 𝐡 𝐷 in terms of its side lengths.

  • Ascalene triangle
  • Bisosceles triangle
  • Cequilateral triangle

Q18:

In the following figure,  𝐡 𝐷 bisects ∠ 𝐡 . Determine the type of β–³ 𝐸 𝐡 𝐷 in terms of its side lengths.

  • Ascalene triangle
  • Bisosceles triangle
  • Cequilateral triangle

Q19:

A triangle has vertices at the points 𝐴 ( 4 , 2 ) , 𝐡 ( 6 , 2 ) , and 𝐢 ( 5 , βˆ’ 1 ) .

Work out the lengths of the sides of the triangle. Give your answers as surds in their simplest form.

  • A 𝐴 𝐡 = 2 , 𝐴 𝐢 = √ 1 0 , and 𝐡 𝐢 = √ 1 0
  • B 𝐴 𝐡 = 1 2 , 𝐴 𝐢 = 1 0 , and 𝐡 𝐢 = 2
  • C 𝐴 𝐡 = 4 , 𝐴 𝐢 = 3 √ 2 , and 𝐡 𝐢 = √ 2
  • D 𝐴 𝐡 = 2 √ 3 , 𝐴 𝐢 = √ 1 4 , and 𝐡 𝐢 = √ 2
  • E 𝐴 𝐡 = 2 √ 3 , 𝐴 𝐢 = 2 √ 1 1 , and 𝐡 𝐢 = √ 1 0

What type of triangle is 𝐴 𝐡 𝐢 ?

  • Aequilateral
  • Bisosceles
  • Cscalene

Q20:

Determine whether is an obtuse-angled or acute-angled triangle.

  • Aobtuse-angled
  • Bacute-angled

Q21:

Which of the following describes the given shape?

  • Ascalene triangle
  • Bright triangle
  • Cequilateral triangle
  • Dobtuse triangle
  • Eisoceles triangle

Q22:

What do these shapes have in common?

  • ABoth are obtuse triangles.
  • BBoth are equilateral triangles.
  • CBoth are isosceles triangles.
  • DBoth are acute triangles.
  • EBoth are right triangles.

Q23:

Complete the following: If 𝐴 𝐡 is a chord in a circle with centre 𝑀 , then the triangle 𝐴 𝑀 𝐡 is .

  • A an equilateral triangle
  • B an isosceles triangle
  • C a scalene triangle

Q24:

If 𝐴 𝐡 𝐢 is a triangle whose side lengths are 11 cm, 26.4 cm, and 28.6 cm and is similar to a triangle 𝑋 π‘Œ 𝑍 , determine the type of β–³ 𝑋 π‘Œ 𝑍 in terms of its angles.

  • Aobtuse
  • Bright
  • Cacute

Q25:

In β–³ 𝐴 𝐡 𝐢 , suppose that ( 𝐴 𝐡 ) + ( 𝐡 𝐢 ) = 7 2 . 2 5 2 2 and 𝐴 𝐢 = 8 . 5 what kind of angle is ∠ 𝐡 ?

  • Aobtuse
  • Bright
  • Cacute
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