Year 9
Right-angled triangles and tilted squares
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Lesson details
Key learning points
- In this lesson, we will explore how to find side lengths of triangles which lie on tilted squares.
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6 Questions
Q1.
What is the length of the line below?
√10
10
17
Q2.
What is the length of the line below?
√8
10
8
Q3.
What is the length of the line below?
√13
√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.
Q5.
What is the length of the missing side of the triangle, labelled n?
√3
√6
√7
Q6.
What is the length of the missing side of the triangle, labelled m?
√10
√12
6 Questions
Q1.
Look at the diagram below and fill in the gap: The area of the larger square is equal to the ........... of the area of the two smaller squares.
difference
product
Q2.
What is the side length of the larger square?
√8
10
8
Q3.
What is the side length of the larger square?
√12
12
26
Q4.
What is the side length of the larger square?
√7
29
7
Q5.
If the pink triangle has a base of 10 and a height of 2. What is the area of the green tilted square?
√104
√20
20
Q6.
If the pink triangle has a base of 10 and a height of 2. What is the side length of the green square?
√29
104
29