Q1.1 Pythagoras' Theorem and naming sides of right angled triangle

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TEAME CIT

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TEAME CIT 8 years, 5 months ago

Published this.

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TEAME CIT 9 years ago

Created this as a copy of Q2 Solve for x and y on a given 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

Write Adjacent, Opposite or Hypotenuse in the label answer boxes that correspond to the triangle above them, in parts(a - d).

The angle labelled "ang" is the important one in each case.

In parts(e - g), find the length of the unknown side using Pythagorass Theorem.

Solve the following mensuration questions to 2 decimal places:

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	31
ans1	number	57.9827560573
l21	integer	33
ang2	integer	63
lent2	integer	49
ans2	number	30.7408522979
l22	integer	12
l23	integer	12
l31	number	36.5
l32	integer	65
l33	integer	43
ans3	number	53.784291387

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:

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Step Information only
Part b) Gap-fill
Part c) Gap-fill
Part d) Gap-fill
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Part f) Gap-fill
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Part g) Gap-fill
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Gap-fill

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

Write the name of each side in the correct box:

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

{tri(30,45,56)}

x = Gap 0.

y = Gap 1.

z = Gap 2.

Advice

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

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

$x = \var{ans1}$

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

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

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

$x = \var{ans2}$

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

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

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

$x = \var{ans3}$

Give a worked solution to the whole question.

URL

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This question is used in the following exams:

Math6000 Trigonometry by TEAME CIT in MATH6000 Essential Mathematical Skills.
Math6000 (WS5-8) by Julie Crowley in MATH6000 Essential Mathematical Skills.
Trigonometry by Deirdre Casey in Deirdre's workspace.
Quiz 2019 wk 10 by Gavin Mountjoy in Gavin's workspace.
claire's copy of Trigonometry by claire lines in claire's workspace.

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Q1.1 Pythagoras' Theorem and naming sides of right angled triangle

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

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TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years ago

Error in variable testing condition

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Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Q1.1 Pythagoras' Theorem and naming sides of right angled triangle

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

TEAME CIT 8 years, 5 months ago

TEAME CIT 9 years ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`