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.

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 centimeters.

Q4:

The height of a right 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:

𝐴𝐡𝐢𝐷 is a square. Find the area of β–³π‘‹πΆπ‘Œ.

Q9:

𝐴𝐢×𝐴𝐡=Γ—.

  • A𝐷𝐡, 𝐴𝐷
  • B𝐴𝐷, 𝐢𝐡
  • C𝐴𝐷, 𝐢𝐷
  • D𝐢𝐷, 𝐷𝐡

Q10:

Find the area of △𝐴𝐡𝐢. Round your answer to the nearest hundredth.

Q11:

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

  • A5π‘₯π‘¦οŠ¬οŠ©
  • B12π‘₯π‘¦οŠ©οŠ©
  • C12π‘₯
  • D24π‘₯π‘¦οŠ¬οŠ©
  • E12π‘₯π‘¦οŠ¬οŠ©

Q12:

The area of a triangle with base 𝑏 and height β„Ž is 𝐴=12π‘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 67 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 𝐴𝐸𝐢 represents the lawn where 𝐸𝐢=6m. Find the area of 𝐴𝐸𝐢 giving the answer to two decimal places.

Q15:

Find the area of △𝐴𝐡𝐢.

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.

Q17:

𝐴𝐡𝐢𝐷 is a parallelogram of area 560. Suppose that point 𝐸 is on 𝐴𝐷. What is the area of △𝐸𝐡𝐢?

Q18:

The area of △𝐴𝐡𝐢 is 12.35. Find 𝐢𝐷 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√102ft, height =3√10ft
  • Bbase =3√52ft, height =3√5ft
  • Cbase =6√5ft, height =3√5ft
  • Dbase =3√5ft, height =6√5ft
  • Ebase =3√10ft, height =3√102ft

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 =1478in. area of all triangles =294in
  • Barea of blue triangle =492in. area of all triangles =392in
  • Carea of blue triangle =494in. area of all triangles =147in
  • Darea of blue triangle =1478in. area of all triangles =588in
  • Earea of blue triangle =494in. area of all triangles =196in

Q23:

Given that 𝐷𝐸𝐹𝑁 is a square of side length 47 cm, find the area of β–³π‘‹π‘ŒπΉ, and approximate the result to the nearest integer.

Q24:

Find the area of the △𝐴𝐡𝐢 and the length of 𝐡𝐸.

  • A264 cm2, 8.12 cm
  • B924 cm2, 28.43 cm
  • C1,056 cm2, 16.25 cm
  • D528 cm2, 16.25 cm

Q25:

Work out the area of the triangle.

  • A20 square units
  • B10 square units
  • C12 square units
  • D24 square units
  • E30 square units

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