MHB Smallest possible area of triangle

  • Thread starter Thread starter gazparkin
  • Start date Start date
  • Tags Tags
    Area Triangle
gazparkin
Messages
17
Reaction score
0
Hi,

I'm trying to work out this question, and the answer I'm coming up with isn't right. Can anyone help me understand the calculation used to work this out?
 

Attachments

  • area Q.jpg
    area Q.jpg
    10.5 KB · Views: 114
Mathematics news on Phys.org
I can't read that nor enlarge it. Can't you just type the probelm in?
 
HallsofIvy said:
I can't read that nor enlarge it. Can't you just type the probelm in?
Yes, sorry it's not larger in the browser. The question is, in this right angled triangle, both measurements (2.7cm and 3.4cm) are given correct to 1 decimal place (d.p). What is the smallest possible area of the triangle?

Thank you :)
 
Okay. I presume you know that the area of such a right triangle is (1/2) base times height. Since the base is 2.7 cm "given to one decimal place", it could be as low as 2.6 cm. The height is 3.4 cm "given to one decimal place" so it could be as low as 3.3 cm. Now can you calculate the smallest area?
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

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...
View full post »

Thread 'Fermat's Last Theorem'

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...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

I Help with area formula using direction cosines
Replies
3
Views
2K
B Find triangles with areas that are integers
Replies
20
Views
3K
MHB Can an Ellipse Help Solve the Scalene Triangle Problem?
Replies
1
Views
1K
MHB What is the smallest side length BC of triangle ABC with fixed angle and area?
Replies
2
Views
1K
MHB Why Can't a Right Triangle Have Sides that Add Up to the Area of Squares?
Replies
2
Views
2K
MHB Area of Triangle ABC: Find the Answer Here
Replies
2
Views
1K
B How to interpret Pascal's Triangle for negative numbers?
Replies
3
Views
2K
MHB What is the area of triangle $STV$?
Replies
1
Views
1K
MHB Problem about equilateral triangles
Replies
2
Views
1K
MHB The area of a triangle and determinants
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top