Respuesta :

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

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