The third member of the Pythagorean triple is 28 and this can be determined by using the Pythagorean theorem.
Given :
21 and 35 are two members of a Pythagorean triple.
The following steps can be used in order to determine the third member of the Pythagorean triple:
Step 1 - The Pythagorean theorem can be used in order to determine the third member of the Pythagorean triple.
[tex]H^2 = P^2+B^2[/tex]
where the hypotenuse is H, the perpendicular is P, and the base is B of the right-angle triangle.
Step 2 - Now, substitute the value of H and P in the above expression in order to determine the value of 'B'.
[tex]35^2 = 21^2+B^2[/tex]
Step 3 - Simplify the above expression.
[tex]B^2= 784[/tex]
[tex]B = 28[/tex]
So, the third member of the Pythagorean triple is 28.
For more information, refer to the link given below:
https://brainly.com/question/21149612
