1819 H2Y §6.Practice Test

• Wiskunde
• Middelbare school
• havo
• Leerjaar 2

Which exercises should we discuss on the board?

Overview CH6

- You know what the short sides and what the hypotenuse is in a right-angled triangle.

- You can make sketches.

- You can use Pythagoras' theorem to calculate the third side in a right-angled triangle when you know two sides.

- You can give exact answers.

- You can use Pythagoras' theorem in stories and round your answer sensibly.

- You can use Pythagoras' theorem in cuboids and pyramids

(NOT §6.5, finding out if triangles are acute- or obtuse-angled)

Shorter sides & hypotenus

All right-angled triangles have 2 shorter sides and 1 hypotenuse.

The hypotenuse is the longest side and always lies opposite the right angle.

The shorter sides are (as the name suggests)

shorter than the hypotenus and always lie

on either side of the right angle.

Calculating unknown sides

Example

1) Sketch:

Example

2) Fill in known sides:

Example

3) Calculate the known squares

Example

4) Calculate the unknown square

                                                                                         81 - 49 = 32

Example

5) Calculate the unknown side

                                                                                        

Example

                                   is the exact answer.

BC=√​32​​​

Pythagoras in solids

In the box on the right AB = 6, BC = 12

and AE = 6. Calculate BH

Pythagoras in solids

In the box on the right AB = 6, BC = 12

and AE = 6. Calculate BH

Pythagoras in solids

In the box on the right AB = 6, BC = 12

and AE = 6. Calculate BH

HW Monday

Make and correct:

- Practice Test CH 6 in your workbook (NOT 8)

- §6.6: 38, 39, 40, 41, 42 (NOT 43, 44)

You can work on this during class time on Friday