Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Triangle Inequality

Q1:

Which of the following lists could be the lengths of sides of a triangle?

  • A 5 , 3 , 8
  • B 5 , 2 , 8
  • C 2 , 5 , 6

Q2:

Which of the following lists could be the lengths of sides of a triangle?

  • A 2 , 5 , 7
  • B 2 , 5 , 8
  • C 5 , 3 , 6

Q3:

Which of the following lists could be the lengths of sides of a triangle?

  • A 4 , 3 , 7
  • B 2 , 4 , 8
  • C 3 , 6 , 8

Q4:

In what interval must the length of lie?

  • A
  • B
  • C
  • D

Q5:

In what interval must the length of lie?

  • A
  • B
  • C
  • D

Q6:

Determine whether the following sentence is true or false: Knowing the measures of the angles of a triangle is enough to be able to draw that triangle.

  • A false
  • B true

Q7:

If the measures of two sides of a triangle are 3 cm and 20 cm, which of the following could NOT be the measure of the third side?

  • A 19 cm
  • B 21 cm
  • C 22 cm
  • D 17 cm

Q8:

If the lengths of two sides of a triangle are 3 cm and 9 cm, determine the interval to which the length of the third side belongs.

  • A
  • B
  • C
  • D

Q9:

Is it possible to form a triangle with side lengths 6 m, 7 m, and 18 m?

  • AThere is not enough information to tell.
  • BYes
  • CNo

Q10:

Find the range of all possible values of ๐‘ฅ if ( ๐‘ฅ + 6 ) cm, 2 cm, and 25 cm represent the lengths of the sides of a triangle.

  • A 2 9 < ๐‘ฅ < 3 3
  • B 2 3 < ๐‘ฅ < 2 7
  • C 1 7 < ๐‘ฅ < 2 5
  • D 1 7 < ๐‘ฅ < 2 1
  • E 2 < ๐‘ฅ < 2 1

Q11:

Which of the following lists of numbers is NOT the lengths of sides of a triangle?

  • A
  • B
  • C
  • D

Q12:

Which of the following lists of numbers is NOT the lengths of sides of a triangle?

  • A
  • B
  • C
  • D

Q13:

Which of the following lists of numbers is NOT the lengths of sides of a triangle?

  • A
  • B
  • C
  • D

Q14:

Which of the following groups of lengths can form the sides of a triangle?

  • A 19 cm, 1 cm, 8 cm
  • B 4 cm, 18 cm, 3 cm
  • C 18 cm, 7 cm, 5 cm
  • D 11 cm, 11 cm, 4 cm

Q15:

Is the following statement true or false: โ€œThe longest side of a triangle is opposite to the angle with the largest measure.โ€

  • Atrue
  • Bfalse

Q16:

Complete the sentence: The sum of the lengths of any two sides in a triangle is the length of the other side.

  • A less than
  • B equal to
  • Cgreater than

Q17:

Does the triangle with side lengths 8, 32, and 16 exist?

  • Ano
  • Byes

Q18:

Is it possible to form a triangle with side lengths 3 inches, 5 inches, and 7 inches?

  • AThere is not enough information to tell.
  • BNo
  • CYes

Q19:

Two sides in a triangle have lengths 2.6 and 2.4. In what interval must the length of the third side be?

  • A
  • B
  • C
  • D

Q20:

Two sides in a triangle have lengths 8.8 and 5.2. In what interval must the length of the third side be?

  • A
  • B
  • C
  • D

Q21:

Two sides in a triangle have lengths 9.9 and 7.1. In what interval must the length of the third side be?

  • A
  • B
  • C
  • D

Q22:

Which of the following could be side lengths of a triangle?

  • A 7 cm, 36 cm, and 43 cm
  • B 13 cm, 18 cm, and 43 cm
  • C 13 cm, 36 cm, and 43 cm

Q23:

Is the length of any side in a triangle less than, equal to or greater than the sum of the length of the other two sides?

  • A greater than
  • B equal to
  • C less than

Q24:

In triangle ๐ด ๐ต ๐ถ , is ๐ด ๐ต + ๐ต ๐ถ โˆ’ ๐ด ๐ถ < , = , > 0 o r ?

  • A <
  • B =
  • C >

Q25:

Is it possible to draw a triangle with side lengths of 6 cm, 11 cm, and 9 cm?

  • Ayes
  • Bno