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
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
**.