![erj6303](/avatars/6599.jpg)
erj6303
20.06.2020 •
Mathematics
Pythagorean triplet whose one member is 15
Solved
Show answers
More tips
- F Food and Cooking What to Give as a Wedding Gift?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- S Style and Beauty How to Get Rid of Peeling Nails: Natural Remedies...
- S Science and Technology Understanding Magnetic Storms: A Guide to This Natural Phenomenon...
- F Family and Home What is Most Important in Men s Lives?...
- G Goods and services Which TV is better - LCD or Plasma?...
- C Computers and Internet Are there special gaming mice?...
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- C Computers and Internet Keep Your Mouse Pad Clean: The Right Way to Clean It?...
Answers on questions: Mathematics
- M Mathematics Solving linear equations a/17=6...
- M Mathematics You bought a magazine for $4 and 4 Snickers bars right before checkout. You spent a total of $10. How much was each snickers bar?...
- M Mathematics What is the measure of ZA?...
- M Mathematics Rectangle ABCD is reflected over the x-axis, followed by a reflection over the y-axis, and then rotated 180 degrees about the origin. What is the location of point A...
- M Mathematics Country A produces about four times the amount of diamonds in carats produced in country B. If the total produced in both countries is 20,000,000 carats, find the amount...
- M Mathematics A triangle that has two sides of equal length is called isosceles. Make up an example of an isosceles triangle, one of whose vertices is (3,5). If you can, find a triangle...
- M Mathematics Identify the number of solutions of the system of linear equations. 5x+y−z=6 x+y+z=2 12x+4y=10...
- M Mathematics 6.7 x 10 by the power of 3...
- M Mathematics What is the distributed property for 2y-(4x+5)-7...
- M Mathematics Need help pre algebra plz...
Ответ:
Step-by-step explanation:
If
for m > n, then a, b, c make a Pythagorean triplet.
We have the system of equations:
Substitute to the second equation:
Therefore we have:
Let's consider all possible sums of two numbers resulting in 15.
We will check which of the numbers are perfect squares.
1 + 14
2 + 13
3 + 12
4 + 11
5 + 10
6 + 9
7 + 8
(Bold not perfect squares)
There are no two perfect squares among the listed pairs of numbers.
Other:
15, 112, 113
We know the Egyptian triangle with sides of length 3, 4, 5.
By modifying this Pythagorean triplet by multiplying by 3 we get:
(3)(3) = 9; (3)(4) = 12; (3)(5) = 15
By modifying this Pythagorean triplet by multiplying by 5 we get:
(5)(3) = 15; (5)(4) = 20; (5)(5) = 25
Ответ: