# Surds and triangles

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## Lesson details

### Key learning points

- In this lesson, we will recap how to use Pythagorean theorem to find the length of missing sides in triangles leaving the answers is surd form.

### 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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### 6 Questions

Q1.

√9 is a surd

Option 3

Option 4

Option 5

True

Q2.

Which of the following is a surd

A

B

D

Q3.

Which on the following is NOT a surd

B

C

D

Q4.

Which of the following is a surd?

A

B

D

Q5.

Evaluate √49

24.5

98

Q6.

Estimate √57

28.2

28.5

7.2

### 7 Questions

Q1.

Which of the following is a surd

A

C

D

Q2.

Which of the following is NOT a surd

Option 1

B

C

Q3.

Evaluate √144

1.44

72

Q4.

A right- angled triangle has sides a, b and c as show in the diagram. What is the correct formula to find the length a.

A

B

C

Q5.

A right- angled triangle is shown in the diagram below. Find the length of the hypotenuse.

116

14

28

Q6.

A right- angled triangle is shown int he diagram below. Find the length of the missing side.

√135

√33

153

Q7.

A right- angled triangle is shown int he diagram below. Find the length of the missing side.

√146

36

96