Podcast
Questions and Answers
What is the length of RT in triangle RST if RS is 50cm and ST is 2m?
What is the length of RT in triangle RST if RS is 50cm and ST is 2m?
How can Belinda show that her triangle is right-angled?
How can Belinda show that her triangle is right-angled?
Given a triangle with sides measuring 4cm, 6cm, and 7cm, is it a right-angled triangle?
Given a triangle with sides measuring 4cm, 6cm, and 7cm, is it a right-angled triangle?
What is the height of the tree if the distance from a point on the ground to the base is 18 metres and to the top is 20 metres?
What is the height of the tree if the distance from a point on the ground to the base is 18 metres and to the top is 20 metres?
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What is the length of the diagonal x of a rectangle if the length and width are both unknown?
What is the length of the diagonal x of a rectangle if the length and width are both unknown?
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What is the area of rectangle ABCD if AD measures 5cm and BD measures 13cm?
What is the area of rectangle ABCD if AD measures 5cm and BD measures 13cm?
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What is the height, h, of an isosceles triangle ABC where AB = BC = 8cm and AC = 5cm?
What is the height, h, of an isosceles triangle ABC where AB = BC = 8cm and AC = 5cm?
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How far does the helicopter fly in total if it flies 60 miles west and then 25 miles north?
How far does the helicopter fly in total if it flies 60 miles west and then 25 miles north?
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What is the formula represented by Pythagoras’ theorem?
What is the formula represented by Pythagoras’ theorem?
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In a right-angled triangle where AC = 8 cm and BC = 15 cm, what is the length of AB?
In a right-angled triangle where AC = 8 cm and BC = 15 cm, what is the length of AB?
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If AC = 6 cm and AB = 20 cm in a right-angled triangle, what is the length of BC to one decimal place?
If AC = 6 cm and AB = 20 cm in a right-angled triangle, what is the length of BC to one decimal place?
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To find the perimeter of a right-angled triangle with sides 7 cm, 24 cm, and the hypotenuse, which of the following is correct?
To find the perimeter of a right-angled triangle with sides 7 cm, 24 cm, and the hypotenuse, which of the following is correct?
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What is the area of a right-angled triangle with base AC = 8 cm and height BC = 15 cm?
What is the area of a right-angled triangle with base AC = 8 cm and height BC = 15 cm?
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Given a ladder of 4 meters placed 1.5 meters away from a wall, how far does it reach up the wall?
Given a ladder of 4 meters placed 1.5 meters away from a wall, how far does it reach up the wall?
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What mistake could Charles have made to conclude that the missing side is 41 cm?
What mistake could Charles have made to conclude that the missing side is 41 cm?
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In a right-angled triangle with sides 7 cm, 24 cm, what is the length of the hypotenuse AB?
In a right-angled triangle with sides 7 cm, 24 cm, what is the length of the hypotenuse AB?
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What is the relationship between the length and width of the rectangular field for the dog park?
What is the relationship between the length and width of the rectangular field for the dog park?
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How do you calculate the area of the equilateral triangle with a side length of 4 cm?
How do you calculate the area of the equilateral triangle with a side length of 4 cm?
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What is the total length of wire required to make the trapezium frame if all side lengths are equal to x cm?
What is the total length of wire required to make the trapezium frame if all side lengths are equal to x cm?
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If the mass of the wire is 0.489 g per cm, what would be the mass of a metal frame made from 5 pieces of wire, each 10 cm long?
If the mass of the wire is 0.489 g per cm, what would be the mass of a metal frame made from 5 pieces of wire, each 10 cm long?
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In the right-angled triangle, if the perimeter is equal to the circumference of the circle, what does this imply about their dimensions?
In the right-angled triangle, if the perimeter is equal to the circumference of the circle, what does this imply about their dimensions?
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What is the likely method to find the length of line LM joining the points L(−3, 2) and M(1, −3)?
What is the likely method to find the length of line LM joining the points L(−3, 2) and M(1, −3)?
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To calculate the length of the wall dividing the two sections in the dog park, what additional information is essential?
To calculate the length of the wall dividing the two sections in the dog park, what additional information is essential?
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What would you expect the value of x to represent in the context of the right-angled triangle and circle problem?
What would you expect the value of x to represent in the context of the right-angled triangle and circle problem?
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Study Notes
Pythagoras' Theorem
- Used to find missing sides in right-angled triangles
- Formula: a² + b² = c²
- a and b represent the lengths of the two shorter sides (legs)
- c represents the length of the longest side (hypotenuse)
Right-Angled Triangle Calculations
- Various examples provided of applying Pythagoras' theorem to different right-angled triangles
- Calculations involved finding missing sides (using the theorem)
- Measurements given in centimetres (cm) or metres (m)
Perimeter Calculations
- Perimeter is the total distance around the outside of a shape.
- Calculations to find the perimeter of different shapes (including triangles) are in the examples
- Answer should be provided to a specific decimal place (e.g., 1 decimal place)
- Calculations in centimetres (cm) or metres (m).
Area Calculations
- Area is calculated for right-angled triangles
- Formula used for the area of a triangle: area = ½ * base * height
- Calculations using figures in centimetres (cm) to calculate the area is given, and all figures are in cm
Isosceles Triangles
- Triangles with two equal sides
- Calculations to find the height of an isosceles triangle provided
Other Calculations
- Calculations involving various aspects of different shapes, with detailed context (e.g., distance from a point to the top of a tree, to find height) in problems.
- Calculations in metres (m), miles (miles), centimetres (cm).
- Calculations on plane shapes provided, including rectangles, trapezoids, and equilateral triangles.
Coordinate Geometry
- Calculations involving finding the length of a line segment connecting two points on a coordinate plane
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Description
This quiz covers the application of Pythagoras' theorem to find missing sides in right-angled triangles, as well as calculating perimeter and area for various shapes. Learn how to use the formulas effectively and practice with examples involving measurements in centimetres and metres.
