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3 years ago

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

Mathematics

2 answers:

kotykmax [81]3 years ago

8 0

Answer:

Step-by-step explanation:

If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.

zheka24 [161]3 years ago

5 0

Answer:

Step-by-step explanation:

In triangles, the largest angle is always opposite from the longest side.

In other words, since the angle opposite to side b is obtuse and there are only 180 degrees in a triangle, then side b must be the longest side.

In an obtuse triangle, the longest side squared will always be greater than the squared values of the two shorter sides.

The correct answer is C.

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MAVERICK [17]

$2cos(x) + 1 = 0$

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3 years ago

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Alenkasestr [34]

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Step-by-step explanation:

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3 years ago

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coldgirl [10]

Answer:

Step-by-step explanation:

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3 years ago

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Anika [276]

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3 years ago

Assuming the amount of money college students spend on text books each semester is symmetrical with a mean of 500 and a standard

TiliK225 [7]

16% percent of the students paid MORE than Jane.

The mean(μ) of money spent on textbooks is 500

The standard deviation(σ) of money spent on textbooks is 50

Money paid by Jane for her books is $550

We will use this formula,

Ζ=x-μ/σ

To find: the percentage of students paid MORE than Jane for the textbooks

$P(X > 550)$ =?

Solution:

$P(X > 550)=1-P(X$ ≤ $550)$

= $1-P($ Ζ≤ $\frac{550-500}{50} )$

=1-P(Ζ≤ 1)

=1-0.8413

=0.1587

≈16%

Therefore, 16% percent (approx) of the students paid MORE than Jane.

Learn more about mean and standard deviation here brainly.com/question/4388715

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2 years ago

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

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