The sides of a triangle measure 3 cm, 5 cm, and 7 cm. One of the angles is
120
°
. Which type of triangle is it?

A.
acute scalene

B.
obtuse isosceles

C.
acute isosceles

D.
obtuse scalene

Respuesta :

A triangle that has three unequal sides and one obtuse angle is referred to as an obtuse scalene triangle.

The triangle is (d) obtuse scalene

Given that:

[tex]Sides = \{3cm, 5cm, 7cm\}[/tex]

[tex]\theta = 120^o[/tex]

The three sides of the triangle are not equal i.e.

[tex]3cm \ne 5cm \ne 7cm[/tex]

This means that the triangle is a scalene triangle

One of the angles is given as: [tex]120^0[/tex]

[tex]120^0[/tex] is greater than [tex]90^o[/tex]

i.e.

[tex]120^o > 90^o[/tex]

This implies that the angle of the triangle is obtuse.

Hence, the given triangle is (d) obtuse scalene

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