# Worksheet: Determinants and Areas of Triangles

Q1:

Find the area of the triangle below using determinants.

• A13 square units
• B36 square units
• C26 square units
• D18 square units

Q2:

Find the area of the triangle with vertices , , and .

Q3:

Use determinants to find the area of the triangle with vertices , , and .

Q4:

Use determinants to work out the area of the triangle with vertices , , and by viewing the triangle as half of a parallelogram.

Q5:

Consider the quadrilateral with vertices , and .

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

Q6:

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

• A4
• B8
• C
• D2
• E

Q7:

Find the area of the triangle below using determinants.

• A17 square units
• B38 square units
• C34 square units
• D19 square units

Q8:

Find the area of the triangle below using determinants.

• A22 square units
• B32 square units
• C44 square units
• D16 square units

Q9:

Find the area of the triangle below using determinants.

• A13 square units
• B30 square units
• C26 square units
• D15 square units

Q10:

Find the area of the triangle below using determinants.

• A30 square units
• B40 square units
• C60 square units
• D20 square units

Q11:

Find the area of the triangle below using determinants.

• A3 square units
• B36 square units
• C6 square units
• D18 square units

Q12:

Find the area of the triangle below using determinants.

• A8 square units
• B22 square units
• C16 square units
• D11 square units

Q13:

Find the area of the triangle below using determinants.

• A10 square units
• B34 square units
• C20 square units
• D17 square units

Q14:

Find the area of the triangle with vertices , , and .