Question

use the formulas to generate a pythagorean triple with x = 5 and y = 2. the three side lengths, from smallest to largest are:

Answer 1

a squared+b squared=c squared
5 squared+2 squared=c squared
25+4=29
The square root of 29 is C.
The order would be 2, 5, the square root of 29

Answer 2

pythagorean triple are 2, 4,
`√(29)`.

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.

`y^(2) +x^(2) = z^(2)`.

Plugging the values from smallest to largest.

`2^(2) +5^(2) = z^(2)`.

4 + 25 = z²

29 = z²

Taking square root

`√(29)` = z

Therefore, pythagorean triple are 2, 4,
`√(29)`.