# Trig-Pythag Fusion

## Problems requiring multi-step solutions using both Trigonometry and Pythagoras' Theorem

##### Menu  PythagorasTrigonometryLevel 1Level 2  Exam    Help    More

This is level 2: diagrams including at least two right-angled triangles. You will be awarded a trophy if you get at least 7 answers correct and you do this activity online. Give your answers correct to three significant figures.

 1 ☐ $$a$$ = ☐ ✓ ✗ 2 ☐ $$b$$ = ☐ ✓ ✗ 3 ☐ $$c$$ = ☐ ✓ ✗ 4 ☐ $$d$$ = ☐ ✓ ✗ 5 ☐ $$e$$ = ☐ ✓ ✗ 6 ☐ $$f$$ = ☐ ✓ ✗ 7 ☐ $$g$$ = ☐ ✓ ✗ 8 ☐ $$h$$ = ☐ ✓ ✗ 9 ☐ $$i$$ = ☐ ✓ ✗
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This is Trig-Pythag Fusion level 2. You can also try:
Level 1

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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#### 23 or Bust

A game involving mental arithmetic and strategy for two players or one player against the computer. It is possible to beat the computer but you need a well thought out strategy.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=1082

## Description of Levels

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Level 1 - Diagrams including two right-angled triangles

Level 2 - Diagrams including at least two right-angled triangles

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Trigonometry

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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