Year 9

Finding the length of a line from tilted squares

Year 9

Finding the length of a line from tilted squares

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Lesson details

Key learning points

  1. In this lesson, we will learn how to find the length of a line by using triangles and tilted squares.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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7 Questions

Q1.
Which of the values shown below is a surd?
Correct answer: √10
10
10.1
Q2.
What is the area of the tilted green square, in square units?
An image in a quiz
Correct answer: 2
3
4
Q3.
What's the area of the square below, in square units?
An image in a quiz
10
4
Correct answer: 5
7
Q4.
What's the length of one side of the square shown below?
An image in a quiz
√10
√4
Correct answer: √5
√7
Q5.
What's the area of the square below, in square units?
An image in a quiz
Correct answer: 10
12
5
9
Q6.
What's the length of one side of the square shown below?
An image in a quiz
Correct answer: √10
√12
√5
√9
Q7.
Which of the following squares has a surd side length?
Option 1
Option 2
Option 3
Correct answer: Option 4

6 Questions

Q1.
What is the length of the line below?
An image in a quiz
√10
Correct answer: √17
10
17
Q2.
What is the length of the line below?
An image in a quiz
Correct answer: √10
√8
10
8
Q3.
What is the length of the line below?
An image in a quiz
√13
Correct answer: √26
√5
12
Q4.
Which statement best describes the blue and red lines shown in the diagram?
An image in a quiz
The blue and red lines are equal in length.
The blue line is longer than the red line.
Correct answer: The blue line is shorter than the red line.
Q5.
What is the length of the missing side of the triangle, labelled n?
An image in a quiz
√3
Correct answer: √5
√6
√7
Q6.
What is the length of the missing side of the triangle, labelled m?
An image in a quiz
√10
√12
Correct answer: √8