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

Lesson: Finding the Areas of Triangles Using Determinants

Sample Question Videos

Worksheet • 14 Questions • 2 Videos

Q1:

Find the area of the triangle below using determinants.

  • A18 square units
  • B36 square units
  • C26 square units
  • D13 square units

Q2:

Find the area of the triangle below using determinants.

  • A19 square units
  • B38 square units
  • C34 square units
  • D17 square units

Q3:

Find the area of the triangle below using determinants.

  • A16 square units
  • B32 square units
  • C44 square units
  • D22 square units

Q4:

Find the area of the triangle below using determinants.

  • A15 square units
  • B30 square units
  • C26 square units
  • D13 square units

Q5:

Find the area of the triangle below using determinants.

  • A20 square units
  • B40 square units
  • C60 square units
  • D30 square units

Q6:

Find the area of the triangle below using determinants.

  • A18 square units
  • B36 square units
  • C6 square units
  • D3 square units

Q7:

Find the area of the triangle below using determinants.

  • A11 square units
  • B22 square units
  • C16 square units
  • D8 square units

Q8:

Find the area of the triangle below using determinants.

  • A17 square units
  • B34 square units
  • C20 square units
  • D10 square units

Q9:

Use determinants to find the area of the triangle with vertices ( 0 , βˆ’ 1 ) , ( 0 , 2 ) , ( 5 , 0 ) a n d .

Q10:

Find the area of the triangle 𝐴 𝐡 𝐢 with vertices 𝐴 ( 1 , 4 ) , 𝐡 ( βˆ’ 4 , 5 ) , and 𝐢 ( βˆ’ 4 , βˆ’ 5 ) .

Q11:

Find the area of the triangle 𝐴 𝐡 𝐢 with vertices 𝐴 ( 1 , βˆ’ 5 ) , 𝐡 ( βˆ’ 4 , βˆ’ 2 ) , and 𝐢 ( 5 , βˆ’ 5 ) .

Q12:

Use determinants to work out the area of the triangle with vertices ( 2 , βˆ’ 2 ) , ( 4 , βˆ’ 2 ) , ( 0 , 2 ) a n d by viewing the triangle as half of a parallelogram.

Q13:

Consider the quadrilateral with vertices 𝐴 ( 1 , 3 ) , 𝐡 ( 4 , 2 ) , 𝐢 ( 4 . 5 , 5 ) , and 𝐷 ( 2 , 6 ) .

By breaking it into two triangles as shown, calculate the area of this quadrilateral using determinants.

Q14:

Consider the equation If triangle 𝐴 𝐡 𝐢 has an area of 38, what is the radius of its circumcircle?

  • A2
  • B 1 8
  • C8
  • D 1 2
  • E4
Preview