Triangle T U V is shown. Side T U has a length of 5 units, side U V has a length of 8 units, and side T V has a length of 11 units. Which statement is true regarding triangle TUV? Angle T is the smallest angle. Angle V is the smallest angle. Angles U and V must be equal. Angles U and T must be equal.

A triangle is defined as simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol of Δ and consists of three connected vertices. Triangles can be categorized into a number of different varieties according on their sides and angles.

A triangle has three sides, three vertices, and three interior angles.

The angle sum property of a triangle states that the sum of the three interior angles of a triangle is always 180°

In ΔTUV,

Length of Side TU = 5 units

Length of Side UV = 8 units

Length of Side TV = 11 units

Side TU is opposite of angle ∠ V

Side UV is opposite of angle ∠ T

Side TV is opposite of angle ∠ U

The sides in order from longest to shortest : Side TV > Side UV = Side TU

The longest side is always opposite of the largest angle, and the smallest side is always opposite of the smallest angle.

Hence, the angle in order from longest to shortest : angle ∠ U > angle ∠ T > angle ∠ V

Thus, the smallest measure of angle is angle ∠ V.

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