Answer:
pythagorean triple are 2, 4, [tex]\sqrt{29}[/tex].
Step-by-step explanation:
Given : triple with x = 5 and y = 2. the three side lengths, from smallest to largest.
To find : use the formulas to generate a pythagorean triple.
Solution : We have given that side length x =5 , y= 2 , z = ?
By the Formula of pythagorean triple.
[tex]y^{2} +x^{2} = z^{2}[/tex].
Plugging the values from smallest to largest.
[tex]2^{2} +5^{2} = z^{2}[/tex].
4 + 25 = z²
29 = z²
Taking square root
[tex]\sqrt{29}[/tex] = z
Therefore, pythagorean triple are 2, 4, [tex]\sqrt{29}[/tex].
