Simon's copy of Q1.1 Pythagoras' Theorem

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Simon Thomas 5 years, 10 months ago

Created this as a copy of Q1.1 Pythagoras' Theorem and naming sides of right angled triangle.

Name	Status	Author	Last Modified
Q3 Solve for x and y on a given triangle	draft	TEAME CIT	05/10/2016 14:45
Q4 Solve for x and y on a given triangle and calculate the area	draft	TEAME CIT	08/10/2016 21:39
Q1.1 Pythagoras' Theorem and naming sides of right angled triangle	draft	TEAME CIT	08/10/2016 21:38
Q3: Solve for x and y on a given triangle	draft	Denis Flynn	17/01/2017 13:15
MATH6058 Pythagoras' Theorem and naming sides of right angled triangle	draft	Catherine Palmer	23/10/2017 00:40
MATH6058 Solve for x and y on a right angled triangle	draft	Catherine Palmer	23/10/2017 00:42
MATH6058 Solve for x and y on a given triangle and calculate the area	Ready to use	Catherine Palmer	29/03/2018 11:27
Simon's copy of Q1.1 Pythagoras' Theorem and naming sides of right angled triangle	draft	Simon Thomas	01/05/2019 14:59
Simon's copy of Q1.1 Pythagoras' Theorem	draft	Simon Thomas	01/05/2019 15:44
Simon's copy of Q3 Solve for x and y on a given triangle	draft	Simon Thomas	02/05/2019 09:47
Simon's copy of Q4 Solve for x and y on a given triangle and calculate the area	draft	Simon Thomas	02/05/2019 10:42
Maria's copy of Q1.1 Pythagoras' Theorem and naming sides of right angled triangle	draft	Maria Aneiros	29/05/2019 08:42
Using Pythagoras to find a missing side (Eukleides diagrams)	Ready to use	Deirdre Casey	10/05/2023 09:12
Ann's copy of Using Pythagoras to find a missing side (Eukleides diagrams)	draft	Ann Smith	11/06/2019 10:48

There are 45 other versions that do you not have access to.

Question statement

Find the length of the unknown side using Pythagoras' Theorem, giving your answers to 2 d.p.

Note: You may need to scroll down to see the diagrams.

Give any introductory information the student needs.

			Name	Type	Generated Value

ang1	integer	63
lent1	integer	25
ans1	number	58.6003412959
l21	integer	39
ang2	integer	49
lent2	integer	53
ans2	number	36
l22	integer	15
l23	integer	9
l31	number	32.5
l32	integer	64
l33	integer	49
ans3	number	55.1339278485

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(63..65)

JME function reference

Description

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`

→ Used by:

"Part a)" - prompt

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Number entry
  Add

Gap-fill

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

Find the value of x:

Note: The bottom right angle is a right angle (90 $^{\circ}$ ).

{tri5(lent1,lent2,ang1)}

x = Unnamed gap mm

Advice

Remember Pythagoras' Theorem states that

$a^2+b^2=c^2$

where $c$ is the hypotenuse (the longest side)

(a)

$x^2 = \var{lent1}^2 + \var{lent2}^2$

$x = \sqrt{\var{lent1}^2 + \var{lent2}^2}$

$x = \var{precround(ans1,2)}$

(b)

$\var{l21}^2 = x^2 + \var{l22}^2$

$x^2 = \var{l21}^2 - \var{l22}^2$

$x = \sqrt{\var{l21}^2 - \var{l22}^2}$

$x = \var{precround(ans2,2)}$

(c)

$\var{l32}^2 = x^2 + \var{l31}^2$

$x^2 = \var{l32}^2 - \var{l31}^2$

$x = \sqrt{\var{l32}^2 - \var{l31}^2}$

$x = \var{precround(ans3,2)}$

Give a worked solution to the whole question.

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Part	Test	Passed?
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Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
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This question is used in the following exam:

Trigonometry and Pythagoras by Simon Thomas in Maths support.

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Taxonomy: mathcentre

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Checkpoint description

Simon Thomas 5 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Simon's copy of Q1.1 Pythagoras' Theorem

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 5 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`