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
Alecsey [184]
2 years ago
5

How is the formula for a triangle derived from a parallelogram? Please give a good explanation.

Mathematics
1 answer:
Katen [24]2 years ago
5 0

Answer:

At first, we divide the parallelogram into two triangles by joining any two opposite vertices. These two triangles are exactly the same (congruent) and thus have equal areas. The area of the parallelogram is the summation of the individual areas of the two triangles. We drop a perpendicular from a vertex to its opposite side to get an expression for the height of the triangles. The area of the individual triangle is 12×base×height12×base×height .The area of the parallelogram being twice the area of the triangle, thus becomes after evaluation base×heightbase×height .

Complete step by step answer:

The parallelogram can be divided into two triangles by constructing a diagonal by joining any two opposite vertices.





In the above figure, ΔABDΔABD and ΔBCDΔBCDare the two such triangles. These two triangles have:

AB=CDAB=CD (as opposite sides of a parallelogram are equal)

AD=BCAD=BC (opposite sides of a parallelogram are equal)

BDBD is common

Thus, the two triangles are congruent to each other by SSS axiom of congruence. Since, the areas of two congruent triangles are equal,

⇒area(ΔABD)=area(ΔBCD)⇒area(ΔABD)=area(ΔBCD)

Now, we need to find the area of ΔABDΔABD . We draw a perpendicular from DD to the side ABAB and name it as DEDE . Thus, ΔABDΔABD is now a triangle with base ABAB and height DEDE .

Then, the area of the ΔABD

You might be interested in
GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap
saul85 [17]

Answer:

139.48

Step-by-step explanation:

cos(55)=80/x

80/cos(55)=x

4 0
2 years ago
Evaluate the function f(x) = x 2 + 1 for f(2
olasank [31]
F(x)=x^{2} +1
f(2)=2^{2} +1
f(2)=5
6 0
3 years ago
7. Find the slope of the following equation. Simplify your answer.
Nadusha1986 [10]

Answer:

d

Step-by-step explanation:

Rewrite in slope intercept form (move 5x to the right, divide both sides by 2, and reorder the terms)

3 0
2 years ago
A + (b + c) = (A + b) + c<br><br><br> What property is this equation
Free_Kalibri [48]

Answer:

Step-by-step explanation:

Associative property

7 0
3 years ago
Can someone please help a guy out? and ASAP. i'm really tired and i've been trying to get this done for months but i cannot unde
lorasvet [3.4K]

Answer:

1) On the x-axis, the arm span is plotted. On the y-axis, the height is plotted. It is chosen to be that way because the numbers on that have been assigned on the x-axis increase and decrease in a small amount, while the numbers on the y-axis increase and decrease in a huge amount.

2) (lolz i cant show u my work but i will try my best with explanations even tho ian allat.) So, Using the slope formula, I got a the equation y=x+15. The equation was determined with the formula m=y2-y1/x2-x1. The points that were used included (37,40) and (47,50). After finding the slope, I did the best guess for the y-intercept, which is known as b in y=mx+b.

3) The slope of the line represents the time it takes for the arm span and the height. The y-intercept represents the height that the arm span starts developing or gets bigger.

4) It fits perfectly

5) The data is pretty inconsistent.

6)  About 68-69 inches tall

7)About 71-72 inches wide

yeo u had my brain work after this

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is 55005005050 x464537226228
    13·1 answer
  • The stock price of one share in a certain company is worth $360 today. A stock analyst believes that the stock will lose 28 perc
    10·1 answer
  • HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
    7·1 answer
  • Look at the figure. Find TW
    12·1 answer
  • Sam spent half of her allowance going to the movies she wash the family car and earn the seven dollars what is her weekly allowa
    13·1 answer
  • A line of best fit predicts that when x equals 35, y will equal 34.785, but y
    9·1 answer
  • 8x - 3 = 16x - 33 find x
    14·2 answers
  • Melinda said that the fort would melt in the fourth month of the year. What month will the fort melt?
    8·2 answers
  • The cost of 1 watermelon and 5 oranges is $11.The cost of 3 watermelons and 5 oranges is $24.50.How much is the cost of 1 waterm
    12·1 answer
  • Which equation can pair with x + 2y = 5 to create an inconsistent system?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!