How can 3D problems involving Pythagoras' theorem and trigonometry be made easier ?

It is usually easier to solve 3D Pythagoras' theorem problems by splitting them into 2D problems . Try looking for right-angled triangles that share an side or an angle with the information that you know or that you want to know.

True or False? Pythagoras' theorem and trigonometry can be applied to cones and cylinders .

True. Pythagoras' theorem and trigonometry can be applied to cones and cylinders if the missing length or angle can form part of a right-angled triangle .

A plane is a flat surface that extends infinitely in all directions.

How can you find the angle between a line and a plane ?

The angle between a line and a plane is not obvious. If you put a point on the line and draw a new line to the plane it should create a right-angled triangle. The angle between the line and the plane will be the same as the angle between the original line and the side of the right-angled triangle that lies on the plane.

IGCSEMaths A: HigherEdexcelFlashcards

3D Pythagoras & Trigonometry (Edexcel IGCSE Maths A)

Flashcards

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Front3D Pythagoras & Trigonometry
How can 3D problems involving Pythagoras' theorem and trigonometry be made easier?
Front3D Pythagoras & Trigonometry
State the 3D version of the Pythagoras' theorem formula.
Back3D Pythagoras & Trigonometry
The 3d version of Pythagoras' theorem is $d^{2} = x^{2} + y^{2} + z^{2}$
Where:
$d =$ the straight line distance between two points
$x =$ the distance in the $x$ -direction between the two points
$y =$ the distance in the $y$ -direction between the two points
$z =$ the distance in the $z$ -direction between the two points

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Cards in this collection (5)

How can 3D problems involving Pythagoras' theorem and trigonometry be made easier?
It is usually easier to solve 3D Pythagoras' theorem problems by splitting them into 2D problems.
Try looking for right-angled triangles that share an side or an angle with the information that you know or that you want to know.
State the 3D version of the Pythagoras' theorem formula.
The 3d version of Pythagoras' theorem is $d^{2} = x^{2} + y^{2} + z^{2}$
Where:
- $d =$ the straight line distance between two points
- $x =$ the distance in the $x$ -direction between the two points
- $y =$ the distance in the $y$ -direction between the two points
- $z =$ the distance in the $z$ -direction between the two points
True or False?
Pythagoras' theorem and trigonometry can be applied to cones and cylinders.
True.
Pythagoras' theorem and trigonometry can be applied to cones and cylinders if the missing length or angle can form part of a right-angled triangle.
What is a plane?
A plane is a flat surface that extends infinitely in all directions.
How can you find the angle between a line and a plane?
The angle between a line and a plane is not obvious. If you put a point on the line and draw a new line to the plane it should create a right-angled triangle.
The angle between the line and the plane will be the same as the angle between the original line and the side of the right-angled triangle that lies on the plane.

1. Numbers & the Number System

2. Equations, Formulae & Identities

3. Sequences, Functions & Graphs

4. Geometry & Trigonometry

5. Vectors & Transformation Geometry

6. Statistics & Probability