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? 6.3 6.4 7.0 7.1

6.3

To solve this, we are going to use the Pythagorean inequality, which states that for an obtuse triangle or shorter sides and and longest side ,  .

We know from our problem that the shorter sides of our triangle are x cm and 3x cm, so and ; we also know that its longest side is 20 cm, so . Let's replace the values in our Pythagorean inequality an solve for :

And rounded to the nearest tenth:

The greatest possible value of x is 6.3 cm

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40