Question

How many triangles with sides AB, BC, and CA can be made out of a board if the length of each of the three sides of the board is 7 centimeters?

• A. 1 unique triangle
• B. 2 unique triangles
• C. More than two triangles
• D. No triangles

Answer 1

The correct option is A 1 unique triangle

Steps to construct a triangle with a board of the given dimensions:
a) Draw a line segment, AB, of length 7 cm.
b) Draw an arc of 7 cm from A to B.
c) Join AC and BC.


There is exactly one unique triangle that can be made using a board having the side lengths 7 cm, 7 cm, and 7 cm. This is because the arcs of the triangle intersect at exactly one point.

Therefore, point C cannot be in any other position.