David's copy of Randomly give two of hypotenuse, opposite, and adjacent side of a triangle

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David Wishart

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David Wishart 7 years, 9 months ago

Created this as a copy of Randomly give two of hypotenuse, opposite, and adjacent side of a triangle.

Name	Status	Author	Last Modified
Randomly give two of hypotenuse, opposite, and adjacent side of a triangle	Ready to use	Christian Lawson-Perfect	09/12/2019 10:36
David's copy of Randomly give two of hypotenuse, opposite, and adjacent side of a triangle	draft	David Wishart	20/07/2017 13:52
Lovkush's copy of Randomly give two of hypotenuse, opposite, and adjacent side of a triangle	draft	Lovkush Agarwal	20/07/2017 14:54

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Question statement

You are told that a triangle has {first_given} side {sides[first_given]}m, and {second_given} side {sides[second_given]}m.

Give any introductory information the student needs.

			Name	Type	Generated Value

opposite	integer	5
adjacent	number	12
hypotenuse	number	13
sides	dict	Dictionary with 3 entries
missing	string	adjacent side
first_given	string	opposite side
second_given	string	hypotenuse
signs	dict	Dictionary with 3 entries

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(3..13#2)

JME function reference

Description

The length of the opposite side.

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Number entry
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Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

{triangle(adjacent,opposite,missing)}

What is the length of the {missing}?

Unnamed gapm

Advice

We are given the {first_given} and the {second_given}.

We can use Pythagoras' theorem to work out the {missing}.

Pythagoras' theorem states that

$a^2 + b^2 = c^2 \text{,}$

where $a$ is the opposite side, $b$ is the adjacent side, and $c$ is the hypotenuse.

Substituting the values into this equation, we have

$\var{opposite}^2 + \var{adjacent}^2 = c^2$

$\var{opposite}^2 + b^2 = \var{hypotenuse}^2$

$a^2 + \var{adjacent}^2 = \var{hypotenuse}^2$

So the {missing} is

$\simplify[noleadingminus,unitfactor]{ sqrt({signs[second_given]}*{sides[first_given]}^2 + {sides[second_given]}^2)} = \sqrt{\var{sides[missing]^2}} = \var{sides[missing]}\text{m}$

Give a worked solution to the whole question.

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David's copy of Randomly give two of hypotenuse, opposite, and adjacent side of a triangle

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

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Checkpoint description

David Wishart 7 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Error

David's copy of Randomly give two of hypotenuse, opposite, and adjacent side of a triangle

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

David Wishart 7 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`