Answer:
20 inches
Step-by-step explanation:
Step 1: Understanding Pythagorean Theorem
The Pythagorean Theorem is [tex]a^{2} +b^{2}+c^{2}[/tex]. It is used to find the side lengths of a right triangle.
Step 2: Using the Theorem
We can see that the triangle shown is a right triangle and we know two sides so we can solve for the last side.
We can denote -
a - 15
b - unknown
c - 25
(note, c is always the hypotenuse or the longest side of the triangle)
We can plug in the numbers -
[tex]15^{2} +b^{2} =c^{2}[/tex]
[tex]225 +b^{2}=625[/tex]
[tex]b^{2} =625-225[/tex]
[tex]b^{2} =400[/tex]
[tex]b=20[/tex]
