Constructing Triangles

🎬 Video Tutorial

(0:01) Triangle Basics: Triangles consist of vertices, sides, and angles, labelled in a specific way.
(0:51) Angle-Side-Angle (ASA) Construction: Start with the known side, then use a protractor to draw the two angles at each end. Where lines intersect is the third vertex.
(2:12) Side-Side-Angle (SSA) Construction: Be careful, this may create two possible triangles.
(3:05) Side-Side-Side (SSS) Construction: Draw one side, then use a compass to mark the lengths of the other two sides from each end, finding the intersection as the third vertex.

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📂 Revision Cards

A triangle with vertices A, B, and C, sides a, b, and c, and angles ?, ?, and ?. The vertices are labelled counterclockwise. — 1) Triangle Components

Constructing a triangle ABC with angles 60° and 70°, side c=6 cm using compass and ruler. The sides and angles are labelled. — 2) Construct a Triangle

Constructing a triangle ABC with sides 5 cm and 6 cm, and angle 50°, including labelled diagram. — 3) Construct a Triangle

Constructing a triangle ABC with sides a = 7 cm, b = 5 cm, and angle ? = 40°, showing two possible triangles with different angles at vertex C. — 4) Construct a Triangle

Constructing triangle ABC with sides 4 cm, 5 cm, and 6 cm using compass and ruler, including labelled angles ?, ?, and ?. — 5) Construct a Triangle

🍪 Quiz

Constructing Triangles

1 / 6

Q: You are given two sides (5 cm and 7 cm) and the angle between them ($40^\circ$). Can a unique triangle be constructed?

$A triangle with a 40° angle marked in orange, a base length of 7 cm, and one adjacent side length of 5 cm.$

Yes, but there are two possible triangles.

No, the triangle cannot be constructed.

Yes, a unique triangle can be constructed.

It depends on the angle measures.

2 / 6

Q: You are given two sides (8 cm and 8 cm) and the angle between them ($60^\circ$). Can a unique triangle be constructed?

$A triangle with a 60° angle marked in orange, and two sides each measuring 8 cm.$

No, the triangle cannot be constructed.

Yes, but there are two possible triangles.

Yes, a unique triangle can be constructed.

It depends on the length of the third side.

3 / 6

Q: You are given three angles: $60^\circ$, $70^\circ$, and $80^\circ$. Can a triangle be constructed?

No, the triangle cannot be constructed.

Yes, a unique triangle can be constructed.

It depends on the given side lengths.

Yes, but there are two possible triangles.

4 / 6

Q: You are given two angles ($60^\circ$ and $50^\circ$) and the side between them (6 cm). Can you construct a unique triangle?

$A triangle with a base measuring 6 cm, a 60° angle on the left, and a 50° angle on the right.$

It depends on the angle measures.

Yes, a unique triangle can be constructed.

No, the triangle cannot be constructed.

Yes, but there are two possible triangles.

5 / 6

Q: You are given two angles ($100^\circ$ and $20^\circ$) and the side between them (10 cm). Can a unique triangle be constructed?

$A triangle with a base measuring 10 cm, a 100° angle on the left, and a 20° angle on the right.$

Yes, but there are two possible triangles.

Yes, a unique triangle can be constructed.

It depends on the length of the third angle.

No, the triangle cannot be constructed.

6 / 6

Q: You are given three angles: $60^\circ$, $80^\circ$, and $40^\circ$. Can a triangle be constructed?

Yes, a unique triangle can be constructed.

Yes, but there are two possible triangles.

No, the triangle cannot be constructed.

Yes, but you can construct many triangles with different side lengths.

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The average score is 33%

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Geometry and Measures

Constructing Triangles

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