MTH4153-area of a triangle

GEOMETRY Area of a Triangle

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INTRODUCTION

CHARACTERS (examples)

MISSIONS (exercises)

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51122

INTRODUCTION

1. Area of a triangle using base and height

2. Area of a triangle using the SAS formula

3. Area of a triangle using the Hero's formula

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51122

CHARACTERS

Click to view different examples

Example 1base and height

Example 3Hero's formula

Example 2SAS (trig.) formula

Example 4Putting it all together

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51122

MISSIONS

Pass the missions to obtainthe password numbers

1 SPACE

3 STICK

Hero'sformula

Base and height

4 FROG

2 PUZZLE

Putting it all together

SAS/trig.formula

PASSWORD

© 20XX GENIALLY ESCAPE GAMES

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LEVEL 1

OF 5

Using the 5cm side as the base, which side is the height to that base?

7cm

8 cm

none, we do not have that information

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LEVEL 2

OF 5

Area of the triangle

35 centimeter squared

17.5 centimeter

17.5 centimeter squared

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LEVEL 3

OF 5

Which two sides can be used as the base and height?

5.5cm and 1.5cm

3.2cm and 1.5 cm

Not enough information

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LEVEL 4

OF 5

Area of the triangle

2.7 cm squared

4.125 cm squared

2.4 cm squared

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LEVEL 5

OF 5

6.8 cm squared

3.59 cm squared

1.53 cm squared

CONGRATULATIONSon finishing mission 1!

THE NUMBER OF THIS MISSION IS 2

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LEVEL 1

OF 5

NEXT

Can you use sides a and c as base and height to calculate the area of this triangle?

Yes

No

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LEVEL 2

OF 5

NEXT

Area of the triangle

~38 cm squared

~4.125 cm squared

~31 cm squared

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LEVEL 3

OF 5

NEXT

~300 mm squared

~300 cm squared

~3 mm squared

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LEVEL 4

OF 5

NEXT

~7.90 cm squared

~10.33

~9.35 cm squared

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LEVEL 5

OF 5

NEXT

~2.40 unit squared

~5.33 unit squared

~2.94 unit squared

CONGRATULATIONSon finishing mission 2!

THE NUMBER OF THIS MISSION IS 0

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LEVEL 1

OF 5

Which method can you use to calculate the area of the triangle?

10 cm as the base, 9 cm as the height. The base and height formula

Hero's formula

SAS formula, using 10cm, 8cm and changing 9cm to 9 degrees.

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LEVEL 2

OF 5

First, calculate the p-value needed in the Hero's formula.

p = 27

p = 9

p = 13.5

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LEVEL 3

OF 5

Area of triangle ABC:

~13.5 cm squared

~34.20 cm squared

~1169 cm squared

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LEVEL 4

OF 5

10 unit squared

4.99 unit squared

6.15 unit squared

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LEVEL 5

OF 5

Use the hero's formula to calculate the area of triangle ABC where: side AB is 3cm side BC is 4cm side AC is 5cm

~6 cm squared

~12 cm squared

~18 cm squared

CONGRATULATIONSon finishing mission 3!

THE NUMBER OF THIS MISSION IS 2

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LEVEL 1

OF 3

Angle A is 30 degrees

Angle E is 55 degrees

Angle ACB is 20 degrees

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LEVEL 2

OF 3

~ 2.56 cm squared

~ 14 cm squared

~ 8 cm squared

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LEVEL 3

OF 3

Area of both triangles:Ps. area of triangle ABC is 2.56 cm-squared

~ 13 cm squared

~ 10 cm squared

~ 7 cm squared

CONGRATULATIONSon finishing mission 4!

THE NUMBER OF THIS MISSION IS 4

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Numbers acquired from missions