Question

How many triangles can be drawn with the side lengths of 3 units, 4 units, and 5 units? Explain.

Answer 1

The number of triangles that can be drawn from the given side lengths is; 1 perfect right angle triangle

Right angle triangle proof

We are given the sides of the triangle to be;

3 units, 4 units and 5 units

Now, let us test if it is a right angled triangle by using the Pythagoras theorem as follows where;

a² + b² = c²

let a and b be 3 and 4 respectively. Thus;

3² + 4² = 16 + 9 = 25

c is 5. Thus; 5² = 25

Thus, we see that the 3 given sides fulfill the conditions of a right angle triangle.

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