Number 8 Number 14 and Number 16 Determine whether or not th

Determine whether or not the given triple is a Pythagorean triple explain your answer. 10 24-26 6-8-12 1-2-3 30-40-50 40-76-86 9 -40-41 which of the triples in Exercises 1-6 are primitive Pythagorean triples? Explain your answer. Find a triangle similar to the Pythagorean triple whose sides form a primitive Pythagorean triple (PPT). 27 - 36 - 45 45-24 - 51 350-120 - 370 126-120-174 135-72-153 Determine whether or not the triple is a primitive Pythagorean triple (PPT). (Remember there are two things to check.) 3-4-7 6-8-10 45-28-53 5-12-13 10-24-26 15-20-25

Solution

excercise 1 to 6 of solution

for pythagorean triple

this condition is satisfied then we can say that given example is pythagorean triple

a^2+b^2=c^2

problem 1. 10,24,26

here a=10 b=24 and c=26 put all this in equation a^2+b^2=c^2

10^2+24^2=26^2

we got 100+576=676

that means 676=676

means it is satisfied the pythagorean triple like that

similary we have check then problem no. 1, 4 and 6 is pythagorean triple or proble no 2,3 and 5 is not a pythgorean triple.

problem no. 7 ans-problem no. 1, 4 and 6 is pythagorean triple because

this condition is satisfied then we can say that given example is pythagorean triple

a^2+b^2=c^2.

solution of prolem 8 to 12

8. 27,36,45

we know that for pythagorean triple

27^2+36^2=35^2

729+1296=2025

2025=2025

it is the traingle similar to pythgorean triple

9.45,24,51

45^2+24^=51^2

2601=2601

it is also

10.350,120,370

350^2+120^2=370^2

136900=136900

it is also

11.126.120,174

126^2+120^2=174^2

30276=30276

it is also..

12.135,72,153

135^2+72^2=153^2

23409=23409

it is also.

now 13 to 18

13.3,4,7

in this probelm we have to check two things one is a^2+b^2=c^2

and 2nd is a,b<c<a+b

now 3^2+4^2=7^2

it is not a pythgorean triple

14 6,8,10

6^2+8^2=10^2

100=100

6<10<14

it satisfied both condtion it is pythogorean triple

15. 45^2+20^2=53^2

it not satisfied the condition

16 5.12,13

5^2+12^2=13^2

169=169

5<13<17

satisfied the condition

17. 10,24,26

10^2+24^2=26^2

676=676

satisfied both condition

18 15,20,25

15^2+20^2=25^2

625=625

15<25<35

it is also satisfied the condition and also the pythagorean triple