SOLUTION: 5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169 I understand the mathwork involved in Pathagorean Triples and Theorems, but I am having trouble with my assignment. The assignment says
Algebra.Com
Question 610477: 5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169 I understand the mathwork involved in Pathagorean Triples and Theorems, but I am having trouble with my assignment. The assignment says to find a method or formula outside of my textbook and generate five pathagorean triples. I need to confirm validity of these pythagorean triples using the pythagorean theorem formula: a2 + b2 = c2, but Please remember that a2 + b2 = c2 is NOT the formula you're looking for to generate the triples with, it is only to verify each of the
triples (at least 5). I am confused plz help me.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
a^2 + b^2 - 2b^2 = a^2 - b^2 = (a + b)(a - b)
a^2 + b^2 - 2b^2 = c^2 - 2b^2
(a + b)(a - b) = c^2 - 2b^2 ___ (a + b)(a - b) + 2b^2 = c^2
the sum times the difference, plus twice the smaller squared; equals a perfect square
this will work, but I'm sure there must be other methods
RELATED QUESTIONS
An isosceles triangle has a base of 10 and legs of 13. Another isosceles triangle has... (answered by KMST)
"One triangle has sides 13, 13, and 10. Another triangle has sides 12, 20, and 16. Find... (answered by ewatrrr)
Use de Moivre's Theorem to find the square root of -5+12i.
r=13 √ 25+144 =... (answered by Alan3354)
I'm kinda stuck on these three identity Questions: Could you explain how to solve these... (answered by Alan3354,nyc_function)
AB and CD are two parallel chords of a circle such that AB = 24 cm and CD= 10 cm. If the... (answered by josgarithmetic,ikleyn,greenestamps)
Please help me simplify the expression:
13[6^2/(5^2-4^2)+9], I got 169 as the... (answered by solver91311)
x^2+169 (answered by checkley71)
x^2=169 (answered by rapaljer)
s^2=169 (answered by rfer)