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Worksheet: Types of Triangles

Q1:

If , , and , what is the type of in terms of the measures of its angles?

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q2:

If , , and , what is the type of in terms of the measures of its angles?

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q3:

If , , and , what is the type of in terms of the measures of its angles?

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q4:

Suppose that, in , cm, , and . What kind of triangle is this, in terms of its angles?

  • AIt is an obtuse triangle.
  • BIt is a right triangle.
  • CIt is an acute triangle.

Q5:

Given that is a rhombus in which and , what type of triangle is , in terms of its angles?

  • Aa right triangle
  • Ban obtuse triangle
  • Can acute triangle

Q6:

In triangle 𝑋 π‘Œ 𝑍 , ( 𝑋 π‘Œ ) = ( π‘Œ 𝑍 ) + ( 𝑍 𝑋 ) 2 2 2 . What type of angle is 𝑍 ?

  • Aacute
  • Bobtuse
  • Cright

Q7:

In triangle 𝐴 𝐡 𝐢 , ( 𝐴 𝐡 ) = ( 𝐴 𝐢 ) βˆ’ ( 𝐡 𝐢 ) 2 2 2 . What type of angle is 𝐢 ?

  • Aright
  • Bobtuse
  • Cacute

Q8:

In triangle 𝐴 𝐡 𝐢 , ( 𝐴 𝐢 ) βˆ’ ( 𝐴 𝐡 ) = ( 𝐡 𝐢 ) βˆ’ 3 2 2 2 . What type of angle is 𝐡 ?

  • Aright
  • Bobtuse
  • Cacute

Q9:

Given that is a triangle in which , determine the triangle’s type in terms of its angles without finding their measures.

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q10:

In a triangle , and . In terms of the sizes of the angles, what is the type of the triangle?

  • Aacute-angled
  • Bright-angled
  • Cobtuse-angled

Q11:

In the given figure, is a quadrilateral in which , , , and . What type of triangle is in terms of the measures of its angles?

  • Aright triangle
  • Bobtuse triangle
  • Cacute triangle

Q12:

What do these shapes have in common?

  • ABoth are isosceles triangles.
  • BBoth are right triangles.
  • CBoth are acute triangles.
  • DBoth are triangles.
  • E Both are equilateral triangles.

Q13:

Which of the following is true of triangle 𝐴 𝐡 𝐢 ?

  • AAll its angles are acute.
  • BIt is a right-angled triangle.
  • CIt has an obtuse angle.

Q14:

In the figure, is a rectangle. Determine what type of triangle is, in terms of the measures of its angles.

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q15:

In triangle 𝐴 𝐡 𝐢 , 𝐴 𝐡 = 1 0 . 6 c m , 𝐡 𝐢 = 2 9 c m , and 𝐢 𝐴 = 2 1 . 9 c m . Classify β–³ 𝐴 𝐡 𝐢 by the types of its angles, and then decide whether the center of its circumcircle is inside or outside the triangle.

  • Aright triangle, on the triangle
  • Bacute triangle, inside the triangle
  • Cobtuse triangle, outside the triangle

Q16:

In an obtuse triangle, are all the angles obtuse angles?

  • A no
  • B yes

Q17:

What do we call a triangle that has angles , , and ?

  • Aan obtuse triangle
  • Ba right triangle
  • Can acute triangle

Q18:

Given that , what type of triangle is in terms of its angles?

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q19:

Suppose that and in the figure. What kind of triangle is , in terms of its angles?

  • Aacute triangle
  • Bright triangle
  • Cobtuse triangle

Q20:

In any triangle, there are at least two … angles.

  • A obtuse
  • B right
  • C equal
  • D acute

Q21:

In β–³ 𝐴 𝐡 𝐢 , 𝐴 𝐡 = 9 , 𝐡 𝐢 = 3 6 , and 𝐴 𝐢 = 3 4 . What kind of angle is ∠ 𝐴 ?

  • Aacute
  • Bright angle
  • Cobtuse

Q22:

A triangle has side lengths , , and . By drawing a picture or otherwise, find the size of .

  • A
  • B
  • C
  • D