All categories

3 years ago

If AB = 8, BC = 16, and CA = 13, list the angles of ABC in order from smallest to largest.

Mathematics

1 answer:

mr_godi [17]3 years ago

7 0

Answer:
C , B , A

Explanation:
In any triangle, there is a direct relation between the measure of the angle and the length of the opposite side.
This means that:
- The longest side will be the one opposite to the largest angle
- The shortest side will be the one opposite to the smallest angle

In the given triangle:
- The longest side is BC, this means that the largest angle is angle A
- The shortest side is AB, this means that the smallest angle is C
- CA has an intermediate length (AB < CA < BC), this means that measure angle B will be greater than C and less than A

Based on the above, the order from the smallest angle to the largest angle will be as follows:
C < B < A

Hope this helps :)

You might be interested in

Show all work to identify the asymptotes and state the end behavior of the function f(x)=5x/x-25

Nina [5.8K]

Using the asymptote concept, it is found that:

The vertical asymptote is of x = 25.

The horizontal asymptote is of y = 5.

Considering the horizontal asymptote, it is found that the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

$f(x) = \frac{5x}{x - 25}$

Considering the denominator, the vertical asymptote is:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

$y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5$

Hence the end behavior of the function is that it tends to y = 5 to the left and to the right of the graph.

More can be learned about asymptotes and end behavior at brainly.com/question/28037814

#SPJ1

6 0

2 years ago

Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? A. either SAS or AAS B. SAS only C. AA

Harman [31]

Sas only because the triangles and usually congruent to me or in my opponion

5 0

3 years ago

Plzzz helppp with mathh

Masja [62]

Answer:

Try 1 1/6

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Use the table to find the ratio. Enter the ratio as a fraction in simplest form.

marusya05 [52]

Answer:

4/19

Step-by-step explanation:

3 0

3 years ago

What is the probability of rolling a 6 sided die and getting a 4 or a number divisible by 3. A) 1/3 B) 1/18 C) 2/3 D) 1/2

KATRIN_1 [288]

Let
Event A = rolling a 4 on a single die
Event B = rolling a number divisible by 3 (3 or 6) on a single die

There are three outcomes possible in total if either event A happens or event B happens. This is out of six outcomes total.

Divide the values and reduce: 3/6 = 1/2

Final Answer: Choice D) 1/2

6 0

3 years ago