Pythagoras' Theorem and naming sides of right angled triangle

rebelmaths

Finding lengths of sides of triangles

Draws a triangle based on 2 angles and a side length.

Draws a triangle based on 2 angles and a side length.

Draws a triangle based on 2 angles and a side length.

Draws a triangle based on 2 angles and a side length.

No description given

Finding lengths of sides of triangles

This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.

The shapes are: a rectangle, a parallelogram, a right-angled triangle, and a trapezium.

Author of gif: Picknick
https://commons.wikimedia.org/wiki/File:Parallelogram_area_animated.gif
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.

This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.

The shapes are: a rectangle, a parallelogram, a right-angled triangle, and a trapezium.

Author of gif: Picknick
https://commons.wikimedia.org/wiki/File:Parallelogram_area_animated.gif
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.

Draws a right angled triangle based on a length and an angle.

Draws a right angled triangle based on a length and an angle.

Some clever variable-substitution trickery to randomly pick two sides of a right-angled triangle to give to a student, and ask for the other.

The sides are set up so they're always Pythagorean triples, and the opposite side is always odd.

As ever, most of the tricky stuff is in the advice. 

Because this was created quickly to show how to set up the randomisation, there's no diagram. It would benefit greatly from a diagram.

Some clever variable-substitution trickery to randomly pick two sides of a right-angled triangle to give to a student, and ask for the other.

The sides are set up so they're always Pythagorean triples, and the opposite side is always odd.

As ever, most of the tricky stuff is in the advice. 

Because this was created quickly to show how to set up the randomisation, there's no diagram. It would benefit greatly from a diagram.

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

Draws a triangle based on 3 input points. Calculates length, area, perimeter, heights and internal angles

Draws a triangle based on 3 input points. Calculates length, area, perimeter, heights and internal angles

Draws a triangle based on 3 input points. Calculates length, area, perimeter, heights and internal angles

Draws a triangle based on 3 input points. Calculates length, area, perimeter, heights and internal angles

Draws a triangle based on 3 input points. Calcualtes length, area, perimeter, heights and internal angles

Draws a triangle based on 3 input points. Calcualtes length, area, perimeter, heights and internal angles

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

Draws a triangle based on 3 input points. Calcualtes length, area, perimeter, heights and internal angles

Find angle and side in a right angled triangle.

rebelmaths

(Green’s theorem). $\Gamma$ a rectangle, find: $\displaystyle \oint_{\Gamma} \left(ax^2-by \right)\;dx+\left(cy^2+px\right)\;dy$.

A mass is resting on a rough plane. Given the angle of the plane and the mass of the object, find the normal reaction force and hence the coefficient of friction.

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

(Green’s theorem). $\Gamma$ a rectangle, find: $\displaystyle \oint_{\Gamma} \left(ax^2-by \right)\;dx+\left(cy^2+px\right)\;dy$.