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Question requires students to determine if the largest angle of a triangle is smaller than a given value. Answer is Yes/No but students need to use cosine rule to find the largest angle and to know that largest angle is opposite longest side (otherwise they will need to find all angles of the triangle). Designed for a test where students upload handwritten working for each question as a check against guessing. Also designed to make it difficult for students to google or use AI to find the answer.
Metadata
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Don Shearman 1 year ago
Published this.Don Shearman 1 year, 7 months ago
Created this.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Design Safety | draft | Don Shearman | 16/04/2024 06:38 | |
| Design Safety 2 | draft | Don Shearman | 16/04/2024 06:41 |
There are 2 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| long | number |
4.9
|
||||
| side2 | number |
4.3
|
||||
| side3 | number |
0.8
|
||||
| sides | list |
[ 0.8, 4.3, 4.9 ]
|
||||
| angle | number |
135.1781789379
|
||||
| cos_a | number |
-0.7093
|
Generated value: number
- angle
- cos_a
- side2
- side3
- sides
- Advice
Parts
Yes/no
Ask the student a question, and give any hints about how they should answer this part.
A building design requires a triangular support structure as part of its design. The plans show this structure as having sides of length {sides[0]} m, {sides[1]} m and {sides[2]} m. Analysis of the design shows that the structure will be unsafe if the largest angle of the triangle is more than 125∘.
Is the structure as designed safe? (Full working to justify your answer must be shown on your handwritten working)
Use this tab to check that this question works as expected.
| Part | Test | Passed? |
|---|---|---|
| Yes/no | ||
| Hasn't run yet |
This question is used in the following exam: