Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b is obtuse. what must be true?

a. a^2 + c^2 < b^2
b. a^2 + c^2 > b^2
c. b^2 + c^2 < a^2
d. a^2 + b^2 < c^2

D.

Step-by-step explanation:

In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.

∵ In a triangle, the side opposite to the largest angle is largest.

Thus, the largest side in then given obtuse triangle= c

The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.

Therefore, we have

the correct answer is 828.07