1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tpy6a [65]
1 year ago
13

Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1) ,L(-2, 2), and M (3,-1).

Mathematics
1 answer:
Y_Kistochka [10]1 year ago
8 0

Perimeter = 16.4 units

Using the heron's formula, Area ≈ 10.4 units².

<h3>What is the Heron's Formula?</h3>

The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle

s = (a + b + c)/2.

Given the following:

K (-4,-1) ,

L(-2, 2),

M (3,-1)

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find KL, LM, and KM.

KL = √[(−2−(−4))² + (2−(−1))²]

KL = √13 ≈ 3.6 units

LM = √[(−2−3)² + (2−(−1))²]

LM = √34 = 5.8 units

KM = √[(−4−3)² + (−1−(−1))²]

KM = √49 = 7 units

Perimeter = 3.6 + 5.8 + 7 = 16.4 units

Semi-perimeter (s) = 1/2(16.4) = 8.2 units

KL = a ≈ 3.6 units

LM = b = 5.8 units

KM = c = 7 units

s = 8.2

Plug in the values into √[s(s - a)(s - b)(s - c)]

Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]

Area = √[8.2(4.6)(2.4)(1.2)]

Area = √108.6336

Area ≈ 10.4 units²

Learn more about heron's formula on:

brainly.com/question/10713495

#SPJ1

You might be interested in
If the sales tax in your city is 11.4%, and an item costs $160 before tax, how much tax would you pay on that item? Round to the
Oksana_A [137]
First we calculate the tax on the item:
11.4%($160) = 11.4(160)/100 = 18.24
hence the tax for the item is $18.24
The total price for the item would be:
160 + 18.24 = 178.24
hence the total price for the item including tax is:
$<span>178.24</span>

7 0
3 years ago
Select the correct answer. What is the solution for x in the equation 5/3x + 4= 2/3x? A. B. C. D.
7nadin3 [17]

\boldsymbol{\sf{\dfrac{5}{3}x+4=\dfrac{2}{3}x   }}

<em>Subtract</em> 2/3x on both sides.

\boldsymbol{\sf{\dfrac{5}{3}x+4-\dfrac{2}{3}x=0    }}

Combine 5/3x and -2/3x to get x.

\boldsymbol{\sf{x+4=0 }}

Subtract 4 from both sides. <em>Any value</em> subtracted from zero results in its negative value.

\boldsymbol{\sf{x=-4 }}

3 0
1 year ago
Read 2 more answers
The cone shown has a volume of 12 pi inches find the volume of a cylinder with the same base and height as the cone
muminat

The volume of a cone is (1/3)pi r^2 and of a cylinder it is just pi r^2. So the volume of the cylinder will be 3 times that of the cone with the same base and height. So V_cylinder = 36 pi inches^3

Remember: inches is a unit of length in 1D. For 3D volume use inches^3

7 0
3 years ago
Read 2 more answers
Solve 4y - 8 -2y + 5 = 0
NemiM [27]
The answer to your problem is 3/2.
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to 173/22
Advocard [28]

Answer:

7.863

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • C is the midpoint of line segment AB Find the value of x, if line segment AB = 5x and line segment AC = 20.
    9·1 answer
  • Which is the equation for a line that passes through the points (8,2) and (-7,2)
    14·1 answer
  • What is the sum of the
    5·1 answer
  • Find the length of the unknown side. Round your answer to the nearest tenth. *
    13·1 answer
  • After 3 hours, car had traveled 180 miles. After 10 hours, the car had traveled 565 miles What was the average rate of change of
    8·1 answer
  • Tim and Nikko bought new computers. Tim spent $55 more than 2/3 of the amount that Nikko spent for his computer. The total amoun
    9·1 answer
  • Mai is putting money into a savings account. She starts with $450 in the savings account, and each week she adds $40.
    15·2 answers
  • please help i am doing a test. Explain how you can use partial quotients to divide 7,563 ÷ 4 = ________.
    13·1 answer
  • Pls help, algebra 1<br>​
    14·1 answer
  • At noon Joyce drove to the lake at 30 miles per hour. but she made the long walk back home at 4 miles per hour. How long did she
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!