Question

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. (4 points)

Part B: Find the slope of each side of the triangle. Show your work. (3 points)

Part C: Classify the triangle. Explain your reasoning. (3 points)

Answer 1

Answer:im not sure

Step-by-step explanation:

Answer 2

The length of each side of the triangle is √5 units, √17 units, and √18 units, the slope of each side of the triangle 1/2, -4, and -1, and the triangle is an acute triangle.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0).

R (2, 3)

S (4, 4)

T (5, 0)

We can find the length of each side of the triangle:

The distance formula can be defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

$\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\rm RS =\sqrt{(4-2)^2+(4-3)^2}$

RS = √5 units

Similarly,

TS = √17 units

RT= √18 units

Slope can be found using the formula:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

Slope of RS = (4-3)/(4-2) = 1/2

Slope of TS = (4-0)/(4-5) = -4

Slope RT= (0-3)/(5-2) = -1

It's an acute triangle

Thus, the length of each side of the triangle is √5 units, √17 units, and √18 units, the slope of each side of the triangle 1/2, -4, and -1, and the triangle is an acute triangle.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2