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In this lesson, we will learn how to find the side lengths, perimeter, and area of a triangle on the coordinate plane using the Pythagorean theorem.

Q1:

In the figure, the coordinates of points , , and are , , and , respectively. Determine the lengths of and , and then calculate the area of , where a unit length .

Q2:

Given that π΄ π΅ πΆ is an isosceles triangle, where the coordinates of the points π΄ , π΅ , and πΆ are ( 8 , β 2 ) , ( β 2 , β 2 ) , and ( 0 , β 8 ) , find the area of β³ π΄ π΅ πΆ .

Q3:

Given that π΄ π΅ πΆ is an isosceles triangle, where the coordinates of the points π΄ , π΅ , and πΆ are ( 8 , 5 ) , ( 0 , 4 ) , and ( 0 , 6 ) , find the area of β³ π΄ π΅ πΆ .

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