Answer:
The length of the third side is 6
Step-by-step explanation:
Using Pythagorean theorem:
[tex]c^{2} =b^{2} +a^{2}[/tex]
where,
c = the longest side ( 10 )
b = one of the other sides ( 8 )
a = the last side ( the missing one - assume it's a )
step1: sub the values in the formula:
[tex]10^{2} =8^{2} +a^{2}[/tex]
step2: simplify the numbers:
[tex]100=64+a^{2}[/tex]
step3: subtract 64 from both sides:
[tex]a^{2} =36[/tex]
step4: take the square root for both sides:
a = √36
step5: simplify to get a:
a = 6
so the length of the third side is 6
