# Triangle constructions

## Lesson details

### Key learning points

1. In this lesson, we will learn how to construct triangles given two sides and an angle.

### 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.

## Video

Share with pupils

## Worksheet

Share with pupils

## Starter quiz

Share with pupils

### 5 Questions

Q1.
Complete the sentence: We can draw different triangles that have the same ______ angles using a ruler and a ________.
exterior, compass
exterior, protractor
interior, compass
Q2.
What is the length of the missing side, k, on the larger triangle?
10.4cm
10.8 cm
2.7cm
Q3.
Yasmin and Xiavier are talking about constructing triangles. Yasmin says you need 2 sides lengths to be able to construct a triangle. Xiavier says you need a protractor to construct a triangle. Who is correct?
Both Yasmin and Xiavier
Only Xiavier
Only Yasmin
Q4.
What equipment would you use to construct 95°, 6cm, 55° triangle correctly?
Others
Ruler and pencil
Ruler, pencil and compass
Correct answer: Ruler, pencil and protractor
Q5.
Both angles have the same interior angles of ____, _____ and _______
25°, 25°, 48°
48°, 25°, 73°
48°, 48°, 25°,

## Exit quiz

Share with pupils

### 5 Questions

Q1.
How many can be constructed with the following angle measures?100°, 40°, 40°
Exactly one triangle can be constructed
Correct answer: More than one triangles can be constructed
No triangles can be constructed
Q2.
How many triangles can you draw with three side lengths of 4 cm, 5 cm and 10cm?
Four possibilities
One possibility
Two possibilities
Q3.
Complete the sentence about the image below: You can construct different triangles if you are given two _____ and one _____ angle.
exterior, side
interior, side
side, exterior
Q4.
For the image below, both of the triangles above have side lengths of ______ and 7cm and an interior angle of ______.
4cm and 148°