# Triangle constructions

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## Lesson details

### Key learning points

- 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.

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### 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

Q5.

Both angles have the same interior angles of ____, _____ and _______

25°, 25°, 48°

48°, 25°, 73°

48°, 48°, 25°,

### 5 Questions

Q1.

How many can be constructed with the following angle measures?100°, 40°, 40°

Exactly one triangle 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°

7cm and 74°

Q5.

How many triangles can you draw with this information? One side of length 7 cm, one side of length 5cm and a 40° angles.

Impossible

One possibility

Two possibilities