Inicio
/
Matemáticas
/

Problemas

Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.? acute, because 10^2+12^2gt 15^2 acute, because 12^2+15^2gt 10^2 obtuse, because 10^2+12^2gt 15^2 obtuse, because 12^2+15^2gt 10^2

Roztwór

Antonia professionell · Tutor durante 6 años
Weryfikacja ekspertów
4.2 (298 Votos)

Respuesta

To classify the triangle based on its side lengths, we can use the Pythagorean Theorem and its converse. For a triangle with sides , , and (where is the longest side):- If , the triangle is a right triangle.- If , the triangle is an acute triangle.- If , we have: This indicates that the triangle is an acute triangle.Therefore, the correct classification is:**acute, because **.