Area of a Triangle (Leaving Cert Mathematics): Quizzes

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Triangle with One Point at (0,0)
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What is the area formula for a triangle with vertices at (0,0)(0,0), (x1,y1)(x_1,y_1), and (x2,y2)(x_2,y_2)?

12∣x1y2−x2y1∣\frac{1}{2}|x_1y_2 - x_2y_1|

Find the area of a triangle with vertices (0,0)(0,0), (3,4)(3,4), and (6,2)(6,2).

99 square units

What is the length formula from (0,0)(0,0) to (x1,y1)(x_1,y_1)?

x12+y12\sqrt{x_1^2 + y_1^2}

Find the length from (0,0)(0,0) to (3,4)(3,4).

55 units

What is the length formula from (x1,y1)(x_1,y_1) to (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 slope from (0,0)(0,0) to (6,3)(6,3)?

12\frac{1}{2}

What is the equation of a line from (0,0)(0,0) to (x1,y1)(x_1,y_1)?

y=mxy = mx where m=y1x1m = \frac{y_1}{x_1}

What is the slope formula from (x1,y1)(x_1,y_1) to (x2,y2)(x_2,y_2)?

m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2-x_1}

Having a vertex at (0,0)(0,0) simplifies which calculations?

Area, side lengths, slopes & equations

Find the area of a triangle with vertices (0,0)(0,0), (2,5)(2,5), and (4,1)(4,1).

99 square units

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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

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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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