Using pythagorean inequalities, determine which set of the given three sides produces an obtuse triangle. a. 4, 5, 6 b. 5, 13, 19 c. 12, 14, 25 d. 21, 72, 75

Obtuse triangle sets

B. 5, 13, 19

C. 12, 14, 25

Step-by-step explanation:

The Pythagorean inequality for the sides of the triangle to be an obtuse:

, where a, b and c are the sides of the triangle.

The other Pythagorean inequalities are:

, for Acute triangle

, for Right triangle

Now let's check which set of the given sets satisfy the above inequality.

Option A

4, 5, 6

Here a = 4, b = 5 and c = 6

Which is not true.

Here , So this is Acute triangle

Option B

5, 13, 19

Here a = 5, b = 13 and c = 19

Which is true. This is Obtuse triangle

Option C

Here a = 12, b = 14 and c = 25

Which is true. This is obtuse triangle.

Option D

Here a = 21, b = 72 and c = 75

Which is not true for obtuse.

Here , for Right triangle

So this is Right triangle.

because they could drop even lower..

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: