Question

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°. The length of the longest side of the triangle is not known. How many different triangles can be drawn with these dimensions? Explain your reasoning.

Answer 1

Step-by-step explanation:

Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90.

If one of the angle is 90 degrees, it would mean that he has drawn a right angle triangle.

Hypotenuse is the longest side of the triangle. We can find it using Pythagoras theorem as follows:

$h=\sqrt{5^{2}+12^{2}}\\\\=13$

The longest side is 13 cm.

If we keep the longest side the same and if two sides i.e. 5 cm and 12 cm are replaced, a new triangle can form.