telonfrippp5i9i5
02.10.2019 •
Mathematics
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
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Ответ:
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
Ответ:
answer:
you can look it up
step-by-step explanation: