Answer:Yes
Step-by-step explanation:
Given
Triangle has sides
length [tex]a=5\ in.[/tex]
[tex]b=12\ in.[/tex]
[tex]c=13\ in.[/tex]
If the triangle is Right angled then it must satisfy the Pythagoras rule
[tex](\text{Perpendicular})^2+(\text{base})^2=(\text{Hypotenuse})^2[/tex]
[tex](a)^2+(b)^2=(c)^2[/tex]
[tex]5^2+12^2=13^2[/tex]
[tex]25+144=13^2[/tex]
[tex]169=13^2[/tex]
[tex]13^2=13^2[/tex]
Therefore The given triangle is right angled
