Finding the length of a line from tilted squares

Finding the length of a line from tilted squares

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

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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?
Correct answer: 2
3
4
Q3.
What's the area of the square below, in square units?
10
4
Correct answer: 5
7
Q4.
What's the length of one side of the square shown below?
√10
√4
Correct answer: √5
√7
Q5.
What's the area of the square below, in square units?
Correct answer: 10
12
5
9
Q6.
What's the length of one side of the square shown below?
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?
√10
Correct answer: √17
10
17
Q2.
What is the length of the line below?
Correct answer: √10
√8
10
8
Q3.
What is the length of the line below?
√13
Correct answer: √26
√5
12
Q4.
Which statement best describes the blue and red lines shown in the diagram?
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?
√3
Correct answer: √5
√6
√7
Q6.
What is the length of the missing side of the triangle, labelled m?
√10
√12
Correct answer: √8

Lesson appears in

UnitMaths / Pythagoras's theorem