The longest side of an obtuse triangle measures 20 cm. The two shorter sides measure x cm and 3x cm. Rounded to the nearest tenth, what is the greatest possible value of x?
Answer:
5
Step-by-step explanation:
Note: an obtuse triangle is a triangles in which one of the interior angles is more than 90 degrees. Sum of angles in triangle =180 degrees
The longest side of a triangle here is the hypotenuse. To find the unknown side of a triangle, we use the Pythagorean theorem. We already know the hypotenuse hence:
