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Lyrx [107]
2 years ago
11

Triangle ABC has sides with lengths of 11, 18, and 8 units. Determine whether this triangle is a right triangle.​

Mathematics
1 answer:
Arturiano [62]2 years ago
3 0

Answer:

Not a right triangle.

Step-by-step explanation:

If this triangle is a right triangle, then the Pythagorean theorem would work on it. According to the Pythagorean theorem, a^2+b^2=c^2, so c would always be greater than a or b. In this scenario, the greatest number here is 18, so c = 18. Since a or b don't matter if given both legs, we have the following equation that may or may not be equal: 8^2+11^2=18^2. We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that 64+121=324 according to the Pythagorean theorem, and since 64 + 121 = 185, and 185 does not equal 324, the Pythagorean theorem does not work and the triangle is not a right triangle.

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andreev551 [17]

The center of the circle is (-9, -6).

What is the center of the circle?

A circle's center is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

Here, we have

The equation of a circle is written as:

(x - h)² + (y - k)² = a²

Where (h, k) is the center and a is the radius of the circle.

Where (h, k) is the center and a is the radius of the circle.

(x + 9)² + (y + 6)² = 10² (Given)

From the equation, the center of the circle is (-9, -6)

The radius of the circle is 10.

In general form, the equation can be written as

x² + 18x + 81 + y² + 12y + 36 = 100

x² + y² + 18x + 12y + 17 = 0

Hence, the center of the circle is (-9, -6).

To learn more about the center of the circle from the given link

brainly.com/question/25938130

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3 years ago
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Answer:

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Step-by-step explanation:

\frac{a}{b}  =  \frac{4}{3}

\frac{b}{c}  =  \frac{2}{3}

to give b from both equation the same value

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\frac{b}{c}  =  \frac{2}{3}  \times  \frac{3}{3}  =  \frac{6}{9}

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Answer:

Step-by-step explanation:

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The largest side will be opposite the 100 degree angle.

The smallest side will be opposite the 30 degree angle.

So for the question, you are intended to say that CD > AB because CD is opposite a 43 degree angle and AB is opposite a 40 degree angle.

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