MHB Calculating Perimeter & Area of a Parallelogram & Triangle

AI Thread Summary
To calculate the perimeter and area of the parallelogram ABCE and the equilateral triangle ADE, the discussion clarifies that CD is a segment within the trapezoid ABCD. The perimeter can be determined easily, while the area of the trapezoid is calculated using the formula A = (h/2)(b1 + b2), where b1 and b2 are the lengths of the parallel bases. Participants are encouraged to specify any difficulties they encounter in the calculations. The focus remains on providing clear guidance for solving the geometric problems presented. Understanding these formulas is essential for accurate calculations.
Abdullah Qureshi
Messages
16
Reaction score
0
Find the perimeter and area of CD, if ABCE is a parallelogram and

ADE is an equilateral triangle.
 

Attachments

  • Parallelogram.png
    Parallelogram.png
    686 bytes · Views: 94
Mathematics news on Phys.org
CD is a line segemnt, ABCD is a trapezoid. Is that what you're trying to find the area & perimeter for?

Perimeter should be rather simple ... what do you get?

Area of a trapezoid is $\dfrac{h}{2}(b_1+b_2)$ where $b_1$ and $b_2$ are the parallel bases.

Where, exactly, are you having trouble?
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Replies
1
Views
937
Replies
17
Views
2K
Replies
1
Views
1K
Replies
2
Views
1K
Replies
2
Views
5K
Replies
13
Views
4K
Replies
2
Views
2K
Back
Top