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

Lesson: Perimeter of a Triangle

Sample Question Videos

Worksheet • 25 Questions • 2 Videos

Q1:

What is the perimeter of this triangle?

Q2:

What is the perimeter of this triangle?

Q3:

Write an expression in terms of π‘₯ , for the perimeter in cm, of the isosceles triangle shown below.

  • A ( 2 π‘₯ + 1 0 ) cm
  • B 1 0 π‘₯ cm
  • C ( π‘₯ + 1 0 ) cm
  • D 2 0 π‘₯ cm

Q4:

What is the range of possible perimeters, 𝑃 , of the given figure 𝐴 𝐡 𝐢 𝐷 𝐸 if 𝐴 𝐢 = 5 and 𝐷 𝐢 = 9 ?

  • A 3 6 < 𝑃 < 5 6
  • B 𝑃 < 5 6
  • C 1 8 < 𝑃 < 2 8
  • D 𝑃 > 1 8
  • E 1 9 < 𝑃 < 2 3

Q5:

In the parallelogram shown, 𝐡 𝑀 = 3 8 and 𝑀 𝐢 = 5 4 . What is the perimeter of β–³ 𝐴 𝑀 𝐷 ?

Q6:

If the perimeter of this triangle is 234, find the length of the third side.

Q7:

The base of an isosceles triangle is 4 more than the length of one of the equal sides. Let 𝑙 be the length of one of the equal sides and write an equation for 𝑃 , the perimeter of the triangle.

  • A 𝑃 = 3 𝑙 + 4
  • B 𝑃 = 4 𝑙 + 2
  • C 𝑃 = 2 𝑙 + 4
  • D 𝑃 = 2 𝑙 + 3
  • E 𝑃 = 4 𝑙 + 3

Q8:

In triangle 𝐴 𝐡 𝐢 we have 𝐴 𝐡 = 𝐴 𝐢 and π‘š ∠ 𝐢 = 6 0 ∘ . If the perimeter of the triangle is 46.2, what is the length of 𝐡 𝐢 ?

Q9:

Find the perimeter of a triangle whose side lengths are 7, 25, and 22.

Q10:

Find the perimeter of a triangle whose side lengths are 8 cm, 10 cm, and 4 cm.

Q11:

Find the perimeter of β–³ 𝐴 𝐡 𝐢 .

Q12:

Find the perimeter of β–³ 𝐴 𝐡 𝐢 .

Q13:

Find the perimeter of β–³ 𝐴 𝐡 𝐢 .

Q14:

𝐴 𝐡 𝐢 is a triangle where 𝑏 = 2 8 c m , π‘Ž + 𝑐 = 4 9 c m and π‘Ž βˆ’ 𝑐 = 3 c m . Find the perimeter of the triangle giving the answer to the nearest centimetre.

Q15:

Calculate the perimeter of an equilateral triangle whose side length is 3.39 cm.

Q16:

Determine the perimeter of the triangle whose sides have the same length of 22 cm.

Q17:

The perimeter of a triangular piece of land is 166 metres. Find the length of its third side if the sum of two of its sides is 102 metres.

Q18:

The side length of an equilateral triangle is 8 π‘₯ units and its perimeter is 𝑝 units. Write the mathematical relation between 𝑝 and π‘₯ .

  • A 𝑝 = 2 4 π‘₯
  • B 𝑝 = 8 π‘₯ + 3
  • C 𝑝 = 1 1 π‘₯
  • D 𝑝 = 1 2 π‘₯
  • E 𝑝 = 3 2 π‘₯

Q19:

Find the perimeters of β–³ 𝐴 𝐡 𝐢 and β–³ 𝐡 𝐢 𝐷 .

  • A perimeter of β–³ 𝐴 𝐡 𝐢 = 4 2 c m , perimeter of β–³ 𝐡 𝐢 𝐷 = 4 8 c m
  • B perimeter of β–³ 𝐴 𝐡 𝐢 = 2 2 c m , perimeter of β–³ 𝐡 𝐢 𝐷 = 2 3 . 5 6 c m
  • C perimeter of β–³ 𝐴 𝐡 𝐢 = 2 8 . 5 c m , perimeter of β–³ 𝐡 𝐢 𝐷 = 3 1 . 5 c m
  • D perimeter of β–³ 𝐴 𝐡 𝐢 = 1 5 c m , perimeter of β–³ 𝐡 𝐢 𝐷 = 1 5 c m

Q20:

𝐴 𝐡 𝐢 is a triangle, where 𝐡 𝐢 = 5 5 cm, 𝐴 𝐢 βˆ’ 𝐴 𝐡 = 1 3 cm, and the perimeter is 124 cm. Find the lengths of 𝐴 𝐢 and 𝐴 𝐡 giving the answers to the nearest centimetre.

  • A 𝐴 𝐢 = 4 1 c m , 𝐴 𝐡 = 2 8 c m
  • B 𝐴 𝐢 = 9 6 c m , 𝐴 𝐡 = 2 8 c m
  • C 𝐴 𝐢 = 4 1 c m , 𝐴 𝐡 = 5 4 c m
  • D 𝐴 𝐢 = 1 5 c m , 𝐴 𝐡 = 2 8 c m
  • E 𝐴 𝐢 = 2 8 c m , 𝐴 𝐡 = 4 1 c m

Q21:

𝐴 𝐡 𝐢 is a triangle, where 𝐡 𝐢 = 6 3 cm, 𝐴 𝐢 βˆ’ 𝐴 𝐡 = 2 3 cm, and the perimeter is 150 cm. Find the lengths of 𝐴 𝐢 and 𝐴 𝐡 giving the answers to the nearest centimetre.

  • A 𝐴 𝐢 = 5 5 c m , 𝐴 𝐡 = 3 2 c m
  • B 𝐴 𝐢 = 1 1 8 c m , 𝐴 𝐡 = 3 2 c m
  • C 𝐴 𝐢 = 5 5 c m , 𝐴 𝐡 = 7 8 c m
  • D 𝐴 𝐢 = 9 c m , 𝐴 𝐡 = 3 2 c m
  • E 𝐴 𝐢 = 3 2 c m , 𝐴 𝐡 = 5 5 c m

Q22:

Given that 𝐷 𝐹 = 1 0 0 c m and 𝑋 𝑍 = 2 2 c m , find the perimeter of β–³ 𝐷 𝐸 𝑍 to the nearest hundredth, if needed.

Q23:

Given that 𝐷 𝐹 = 1 7 6 c m and 𝑋 𝑍 = 3 8 . 8 c m , find the perimeter of β–³ 𝐷 𝐸 𝑍 to the nearest hundredth, if needed.

Q24:

The perimeter of a triangle is given by ο€Ή π‘₯ + 5 π‘₯ + 1  5 cm. The lengths of two of its sides are ο€Ή βˆ’ 8 π‘₯ + π‘₯  5 cm and ο€Ή βˆ’ 3 π‘₯ + 4  5 cm. Express the length of the third side in terms of π‘₯ .

  • A ο€Ή 9 π‘₯ + 7 π‘₯ βˆ’ 3  5 cm
  • B ο€Ή 9 π‘₯ + 7 π‘₯ βˆ’ 3  2 1 0 cm
  • C ο€Ή βˆ’ 7 π‘₯ + 3 π‘₯ + 5  2 1 0 cm
  • D ο€Ή βˆ’ 7 π‘₯ + 3 π‘₯ + 5  5 cm

Q25:

The perimeter of a triangle is given by ο€Ή 6 π‘₯ βˆ’ 6 π‘₯ + 7  4 5 cm. The lengths of two of its sides are ο€Ή βˆ’ 4 π‘₯ + 5 π‘₯  4 5 cm and ο€Ή 8 π‘₯ + 7  5 cm. Express the length of the third side in terms of π‘₯ .

  • A ο€Ή 1 0 π‘₯ βˆ’ 1 9 π‘₯  4 5 cm
  • B ο€Ή 1 0 π‘₯ βˆ’ 1 9 π‘₯  8 1 0 cm
  • C ο€Ή 2 π‘₯ + 7 π‘₯ + 1 4  8 1 0 cm
  • D ο€Ή 2 π‘₯ + 7 π‘₯ + 1 4  4 5 cm
Preview