Question

Cm and 3x cm Rounded to the nearest tenth, what is the greatest possible value of xp O 6.3 6.4 O 7.0 O

Answer 1

Full question:

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:

20= √(x²+3x²)

20=4x

x=20/4=5

x= 5