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
love history [14]
1 year ago
8

The lines y1 = 2x - 6, y2 = -3x + 4, y3 = -1/2x + 4 intersect to form the sides of a right triangle. Find the perimeter and area

of the triangle.
Mathematics
1 answer:
tino4ka555 [31]1 year ago
3 0

The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

<h3>Determining the perimeter and area of the triangle giving line equation</h3>

In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

The points of intersection of the line are;

(x₁, y₁) = (- 0.4, 5.2),

(x₂, y₂) = (-0.8, 4.4),

(x₃, y₃) = (0, 4)

Determine the base

b² = c² -a²

b = √(-0.8)² + (4 - 4.4)²

b = 2√5 / 5

Determine the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

height = 2√5 / 5

For the hypotenuse

r = √2 · b

r = 2√10 / 5

<h3>Determine the Perimeter and area</h3>

Perimeter = s1+s2+s3

Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5

Perimeter = (2√10 + 4√5) / 5 units

<u>For the area</u>

area = 1/2* base * height

A = 0.5 · (2√5 / 5) · (2√5 / 5)

A = 2/5 square units

Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

Learn more on area and perimeter of triangles here: brainly.com/question/12010318

#SPJ1

You might be interested in
Simplify the equation 9z-3z=48
algol13

Answer: z=8

Step-by-step explanation:

9z-3z=48

    6z=48 ⇔ combine like terms

      z=8

Hope this helps

4 0
3 years ago
Read 2 more answers
What is the absolute value of -8? Use the number line to help answer the question
Ad libitum [116K]
The absolute value of -8 is 8
here’s a trick the absolute value of a positive is the same number of its negative it’s the same number but positive
hope it helps
4 0
3 years ago
Please need help on this
Aleonysh [2.5K]
The answer is 1/3 is the answer.

4 0
3 years ago
Parker baked 80 cookies for a bake sale. At the bake sale, 70% of his cookies sold. How many of Parker’s cookies were sold?
Doss [256]

80 * 70 percent = cookies sold

80 * .7 = cookies sold

56 = cookies sold

4 0
3 years ago
Read 2 more answers
I need help i'm really still confused on the Tan thing in algebra
AysviL [449]

Answer:6/8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • A 12 ft rope cut into two pieces so that one piece is 3 ft less than twice the length if the other piece. How long is each piece
    15·1 answer
  • Find three consecutive numbers whose sum is 84.
    15·2 answers
  • What is 2 divided by 236
    15·2 answers
  • A coin is tossed 4 times. What is the probability that you will get heads all four times?
    14·1 answer
  • ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I PUT 100 POINTS
    6·2 answers
  • Need help with this first one to answer gets branliest
    11·1 answer
  • One line is y = 3x + 2 and the other line goes through the point (0, -5). Write equation of line.
    13·2 answers
  • Please help people :)
    10·1 answer
  • Select the correct answer. what is the range of ? a. (-[infinity], 1] b. [1, [infinity]) c. [6, [infinity]) d. (-[infinity], [in
    15·1 answer
  • Find the conditional probability, in a single roll of two fair 6 sided dive, that the sum is greater than 6, given that neither
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!