Triangle with No Points at (0,0) (Leaving Cert Mathematics): Quizzes

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Triangle with No Points at (0,0)
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What is the area of a triangle with vertices (1,2)(1, 2), (4,6)(4, 6), and (5,3)(5, 3)?

6.56.5 square units

What is the distance formula between points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2)?

(x2−x1)2+(y2−y1)2\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

What is the length of the side joining (2,3)(2, 3) and (6,7)(6, 7)?

424\sqrt{2} units

Why is the absolute value used in the triangle area formula?

To ensure area is positive

Does the area formula work for triangles with a vertex at (0,0)(0, 0)?

Yes, it works for any triangle

What is the area formula derived from?

Determinant of a matrix

For vertices (1,2)(1, 2), (4,6)(4, 6), (5,3)(5, 3), what is 1(6−3)+4(3−2)+5(2−6)1(6-3) + 4(3-2) + 5(2-6)?

−13-13

What is (6−2)2+(7−3)2(6-2)^2 + (7-3)^2 when calculating distance from (2,3)(2, 3) to (6,7)(6, 7)?

3232

Which formula calculates the lengths of triangle sides?

Distance formula

For triangle area, what goes inside the absolute value bars?

x1(y2−y3)+x2(y3−y1)+x3(y1−y2)x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2)

Explore Leaving Cert Mathematics Revision Notes by Topics

The Line

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Area of a Triangle

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Perpendicular Distance

Angle between Lines

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The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Flashcards by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

Explore Leaving Cert Mathematics Exam Questions by Topics

The Line

The Basics

Parallel/Perpendicular Lines

Area of a Triangle

Line Segment Division/Graphing Lines

Perpendicular Distance

Angle between Lines

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