Mathematics, 30.07.2020 05:01 20alondra04

Triangle RST has vertices located at R (2,3), S (4,4), and T (5,0) Part A: Find the length of each side of the triangle Show your work. Part B: Find the slope of each side of the triangle. Show your work Part C: Classify the triangle Explain your reasoning!

Answers: 2

Show answers

Answers

Answer from: lucyamine0

Distance (rounded)

RS=2

ST=4

TR=4

Slope

RS=0.5

ST=-4

TR=-1

Type of triangle

Isosceles triangle

Step-by-step explanation:

For the distance, you use the formula,

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

For the slope, you use the formula

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Because two of the sides are the same length, we know that it is an Isosceles triangle by definition.

If this was helpful, please consider giving me brainliest, it will help me a lot.

Have a good day! :)

Answer from: SassyBanana

Part A: --- (Please see below in bold)

Part B: RS - Slope = 1 / 2; ST - Slope = - 4; RT - Slope = - 1

Part C: Scalene Triangle

Step-by-step explanation:

Part A:

As you can see, in the first attachment I simply potted triangle RST. In the second attachment, we come to the approach on how to determine the length of each side. Instead of applying the distance formula, I created mini right triangles with each of the sides of RST, such that all the sides were the hypotenuse of their own triangles. By now it should be clear that we can apply Pythagorean Theorem -

( RS )^2 = ( 1 )^2 + ( 2 )^2

RS = √5,

( ST )^2 = ( 1 )^2 + ( 4 )^2

ST = √17,

( RT )^2 = ( 3 )^2 + ( 3 )^2

RT = √18

==================================

Part B:

The mini triangles that I created do come in handy to determine the slope. As it is defined as rise over run, take RS as an example. It has a "rise" of 1, as you can see, and a "run" of 2, and therefore has a slope of 1 / 2. Respectively ST has a slope of - 4, and RT has a slope of - 1.

==================================

Part C:

When we are being asked to " classify " this triangle, I am assuming it is in terms of equilateral / scalene / isosceles. If that is so, it would be scalene, as we determined earlier that the lengths of the sides were not equal.

WILL MARK BRAINLIEST!!!Triangle RST has vertices located at R (2,3), S (4,4), and T (5,0) Part A: Fi

Answer from: Quest

answer: a

step-by-step explanation:

Answer from: Quest

Ai just took the test

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 15:30, nicpinela1234

The coordinates of a, b, and c in the diagram are a(p,4), b(6,1), and c(9,q). which equation correctly relates p and q? hint: since is perpendicular to , the slope of × the slope of = -1. a. p - q = 7 b. q - p = 7 c. -q - p = 7 d. p + q = 7

Answers: 3

continue

Mathematics, 21.06.2019 19:30, jasminetaylor4587

According to the data set, where should the upper quartile line of the box plot be placed?

Answers: 1

continue

Mathematics, 21.06.2019 19:30, tgentryb60

Now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Answers: 1

continue

Mathematics, 21.06.2019 23:00, slonekaitlyn01

Shared decision making is always a positive strategy to take

Answers: 1

continue

You know the right answer?

Triangle RST has vertices located at R (2,3), S (4,4), and T (5,0) Part A: Find the length of each s...