Solve for x. Round answer to the nearest tenth. Submit 20 27

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. Sho

deff fn [24]

Answer:

(a) Side lengths

$RS = \sqrt{5}$ $ST = \sqrt{17}$ $RT = \sqrt{18}$

(b) Slope

$RS = \frac{1}{2}$ $RT = 1$ $ST = -4$

(c) Scalene triangle

Step-by-step explanation:

Given

$R = (2,3)$

$S = (4,4)$

$T = (5,0)\\$

Solving (a): Length of each side

This is calculated using distance formula

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

So, we have:

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

$RS = \sqrt{5}$

$ST = \sqrt{(5 - 4)^2 + (0- 4)^2}$

$ST = \sqrt{17}$

$RT = \sqrt{(5 - 2)^2 + (0 - 3)^2}$

$RT = \sqrt{18}$

Solving (b): The slope of each side

This is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$RS = \frac{4- 3}{4- 2}$

$RS = \frac{1}{2}$

$RT = \frac{0 - 3}{5- 2}$

$RT = \frac{ - 3}{- 3}$

$RT = 1$

$ST = \frac{0 - 4}{5- 4}$

$ST = \frac{- 4}{1}$

$ST = -4$

Solving (c): Classify the triangle

In (a), we have:

$RS = \sqrt{5}$

$ST = \sqrt{17}$

$RT = \sqrt{18}$

None of the sides are equal;

The triangle is scalene

5 0

3 years ago

I I need to find the surface area of this triangular prism.

scoundrel [369]

Answer: P=5.2 h=3 B=2

Step-by-step explanation:

To find P, you add everything except for 3 because P starts for perimeter of the bases and 3 is the height of the prism. So P would equal 5.2. Then to get h, it’s just 3 because that’s the height of the prism. Now for B, you just multiply 1x2 because that’s the area of the base and you only need one. If you’re looking for total surface area, the answer is 19.6 becasue the formula is Pxh+2B meaning perimeter x height plus 2 x B. But for lateral, the answer is 15.6 because it’s just Pxh (perimeter x height) hope this helps lol sorry it’s so long.

8 0

2 years ago

Help me pleasee and also could you explain bc im so confused

Rufina [12.5K]

What the person said up above should be correct!

3 0

3 years ago

What is the greatest common factor of 45m and 6m^5

dezoksy [38]

The common factor of 45 and 6 is 3
The common factor of
m and m^5 is m
Together the GCF is 3m

3 0

3 years ago