Worksheet: Area of a Triangle

In this worksheet, we will practice calculating the area of a triangle given its base length and height.

Q1:

Find the area of a triangle whose height is 23 cm and base length is 16 cm.

  • A 368 cm2
  • B 39 cm2
  • C 78 cm2
  • D 184 cm2
  • E 736 cm2

Q2:

What is the area of the triangle on the front of Ethan’s math folder?

Q3:

Find the difference between the area of a triangle whose base is 5.5 dm and height is 4 dm and the area of a rectangle whose dimensions are 21 cm and 16 cm in square centimetres.

Q4:

The height of a right-angled triangle is 47 cm. The base is 26 cm. What is its area?

Q5:

Find the height of a triangle whose base length is 13 cm and area is 299 cm2.

Q6:

If the area of the shaded part in the given figure is 675 cm2, find π‘₯ .

Q7:

If the perimeter of an equilateral triangle is 21.19 cm, and its area is 15.6 cm2, find its height to the nearest hundredth.

Q8:

𝐴 𝐡 𝐢 𝐷 is a square. Find the area of β–³ 𝑋 𝐢 π‘Œ .

Q9:

𝐴 𝐢 Γ— 𝐴 𝐡 = Γ— .

  • A 𝐢 𝐷 , 𝐷 𝐡
  • B 𝐷 𝐡 , 𝐴 𝐷
  • C 𝐴 𝐷 , 𝐢 𝐷
  • D 𝐴 𝐷 , 𝐢 𝐡

Q10:

Find the area of β–³ 𝐴 𝐡 𝐢 . Round your answer to the nearest hundredth.

Q11:

Write an expression for the area in cm2, of a triangle of height 3 π‘₯  cm and base 8 π‘₯ 𝑦   cm.

  • A 5 π‘₯ 𝑦  
  • B 1 2 π‘₯ 𝑦  
  • C 1 2 π‘₯ 𝑦  
  • D 1 2 π‘₯ 
  • E 2 4 π‘₯ 𝑦  

Q12:

The area of a triangle with base 𝑏 and height β„Ž is 𝐴 = 1 2 𝑏 β„Ž . Find the area of a triangle with a height of 16 and a base of 11.

Q13:

The base of a triangle is 14.45, and its corresponding height is 6 7 of that base. What is its area, to the nearest hundredth?

Q14:

The dimensions of a rectangular garden is 13 metres by 8 metres. Triangle 𝐴 𝐸 𝐢 represents the lawn where 𝐸 𝐢 = 6 m . Find the area of 𝐴 𝐸 𝐢 giving the answer to two decimal places.

Q15:

Find the area of β–³ 𝐴 𝐡 𝐢 .

Q16:

Find the difference in area between a parallelogram whose height is 9 cm and base length is 6 cm and a triangle whose height is 10 cm and base length is 2 cm.

  • A 34 cm2
  • B 68 cm2
  • C 17 cm2
  • D 3 cm2
  • E 44 cm2

Q17:

𝐴 𝐡 𝐢 𝐷 is a parallelogram of area 560. Suppose that point 𝐸 is on 𝐴 𝐷 . What is the area of β–³ 𝐸 𝐡 𝐢 ?

Q18:

The area of β–³ 𝐴 𝐡 𝐢 is 12.35. Find 𝐢 𝐷 to the nearest hundredth.

Q19:

Determine the height, π‘₯ , of the figure, given that 𝐴 is the area of its colored part.

Q20:

A triangle has area 24 and base 12. What is its height?

Q21:

A triangle has an area of 45 square feet and its base is twice its height. Find the length of its base and its height, give exact answers.

  • Abase = 3 √ 5 2 f t , height = 3 √ 5 f t
  • Bbase = 6 √ 5 f t , height = 3 √ 5 f t
  • Cbase = 3 √ 5 f t , height = 6 √ 5 f t
  • Dbase = 3 √ 1 0 f t , height = 3 √ 1 0 2 f t
  • Ebase = 3 √ 1 0 2 f t , height = 3 √ 1 0 f t

Q22:

All the triangles and squares in the quilt pattern shown are congruent. Find the area of one of the blue triangles and the area of all triangles.

  • Aarea of blue triangle = 4 9 4 i n  . area of all triangles = 1 4 7 i n 
  • Barea of blue triangle = 1 4 7 8 i n  . area of all triangles = 5 8 8 i n 
  • Carea of blue triangle = 1 4 7 8 i n  . area of all triangles = 2 9 4 i n 
  • Darea of blue triangle = 4 9 2 i n  . area of all triangles = 3 9 2 i n 
  • Earea of blue triangle = 4 9 4 i n  . area of all triangles = 1 9 6 i n 

Q23:

Given that 𝐷 𝐸 𝐹 𝑁 is a square of side length 47 cm, find the area of β–³ 𝑋 π‘Œ 𝐹 , and approximate the result to the nearest integer.

Q24:

Find the area of the β–³ 𝐴 𝐡 𝐢 and the length of 𝐡 𝐸 .

  • A 528 cm2, 16.25 cm
  • B 924 cm2, 28.43 cm
  • C 1,056 cm2, 16.25 cm
  • D 264 cm2, 8.12 cm

Q25:

Work out the area of the triangle.

  • A24 square units
  • B30 square units
  • C10 square units
  • D12 square units
  • E20 square units

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