In this lesson, we will learn how to calculate areas of triangles using determinants.

Q1:

Find the area of the triangle below using determinants.

Q2:

Q3:

Q4:

Q5:

Q6:

Q7:

Q8:

Q9:

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

Q10:

Find the area of the triangle π΄ π΅ πΆ with vertices π΄ ( 1 , 4 ) , π΅ ( β 4 , 5 ) , and πΆ ( β 4 , β 5 ) .

Q11:

Find the area of the triangle π΄ π΅ πΆ with vertices π΄ ( 1 , β 5 ) , π΅ ( β 4 , β 2 ) , and πΆ ( 5 , β 5 ) .

Q12:

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

Q13:

Consider the quadrilateral with vertices π΄ ( 1 , 3 ) , π΅ ( 4 , 2 ) , πΆ ( 4 . 5 , 5 ) , and π· ( 2 , 6 ) .

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

Q14:

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

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