Pythagoras’ Theorem & Trigonometry

These flashcards cover key concepts and questions related to Pythagoras' theorem and trigonometry as outlined in the lecture notes.

What does Pythagoras’ theorem help to find in a right-angled triangle?

The length of the hypotenuse.

When finding the hypotenuse, what form should the answer be left in for exact values?

Surd form.

How should the hypotenuse be rounded when necessary?

To two decimal places.

What constitutes the perimeter of a triangle?

The sum of the lengths of all three sides.

In a right-angled triangle with a hypotenuse of 5m and sides in the ratio of 1 to 3, what are the lengths of the other sides?

1m and 3m.

For the sides in the ratio of 2 to 3, how can their lengths be calculated?

Use the total hypotenuse length of 5m to find the individual lengths.

What unit conversion may be required for some calculations?

Units indicated in red.

What is the significance of using a calculator in these problems?

To assist in finding approximate measurements when necessary.

How do you find the direct distance between two points A and B?

Use the distance formula (Pythagorean theorem) to calculate the distance.

For finding the perimeter of a square containing circles, what first step is suggested?

First find the diagonal length of the square.

How should the final perimeter of the square be expressed?

To the nearest centimetre.

What is slant height in context of cones?

The distance from the top of the cone to the edge of the base.

How should slant height be reported?

Correct to two decimal places.

What type of answer is required for the length of AC?

An exact value.

What level of math is discussed in the document?

Level H Maths.