Year 9
The case of 30 and 60 degrees
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Lesson details
Key learning points
- In this lesson, we will look at the special cases of 30 and 60 degrees right angled-triangles.
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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5 Questions
Q1.
What is the name of the longest side in a triangle?
congruent
opposite
Q2.
Triangle Y has been enlarged. Work out the length of the base of triangle X.
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164591%2Fuabwfipvljkdpq9kyqc8.png&w=828&q=75)
1.5 cm
8 cm
Q3.
What is the size of the marked angle?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164596%2Fpl0zmcpp2f7sm2akepdt.png&w=640&q=75)
30 degrees
60 degrees
Q4.
What is the length of m?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164603%2Fea2zd0lxd1grnkn908nj.png&w=640&q=75)
2.5 cm
5 cm
Q5.
What is the length of the missing side?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164627%2Fppbvop6kz1ze4lv2andb.png&w=640&q=75)
4 cm
6 cm
6 Questions
Q1.
a is half the size of the hypotenuse when 𝑥 = ?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707156412%2Ftb6gd2jw2fuvsbilz0fp.png&w=640&q=75)
30 degrees
45 degrees
Q2.
b = 10 cm when 𝑥 = ?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707156427%2Fulynwmp5paqbohlgwvar.png&w=640&q=75)
30 degrees
45 degrees
Q3.
What is the size of the angle marked x ?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707156433%2Fvwzxq5yhxlul3yxcj97j.png&w=640&q=75)
15 degrees
60 degrees
Q4.
What is the length of the hypotenuse?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707156435%2Fqopeorvok4hrog9mhzrj.png&w=384&q=75)
3.5 cm
5 cm
Q5.
What is the length of angle x?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707156439%2Fd2tugyfqwretl00mqbks.png&w=640&q=75)
18 cm
9 cm
Q6.
What is the size of angle x?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707156454%2Fgnhixoxijwrm47wpawrz.png&w=640&q=75)
45 degrees
60 degrees