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What are the smallest and largest angles of a triangle with sides 7.6cm 9.2cm and 5.7cm?
The largest angle is opposite the largest side.
Using the cosine rule:
9.2² = 7.6² + 5.7² - 2 × 7.6 × 5.7 × cos β
→ cos β = (7.6² + 5.7² - 9.2²) / (2 × 7.6 × 5.7)
→ β = arccos((7.6² + 5.7² - 9.2²) / (2 × 7.6 × 5.7)) ≈ 86.29°
The smallest angle is opposite the shortest side.
The cosine rule can be used again, or using the sine rule:
sin γ / 5.7 = sin 86.29° / 9.2
→ sin γ = sin 86.29° × 5.7 / 9.2
→ γ = arcsin(sin 86.29° × 5.7 / 9.2) ≈ 38.19°
What else can I help you with?
What are the angles from smallest to greatest in a triangle that has sides of 8.3cm 5.4cm and 7.1cm?
If you know all three sides of a triangle, you can calculate the angles using the law of cosines. If you only want to know which angle is the smallest, it is much simpler: The angle that is opposite to the smallest side is the smallest angle; the angle that is opposite to the largest side is the largest angle.
What is the smallest angle of a triangle with a ratio of 2 to 3 to 4?
It depends on whether the ratio refers to the angles of the triangle or the length of the sides.
Is it true that the largest angle of a triangle is between the two longest sides?
Not always because the largest angle of a right angle triangle is between its smallest sides which measures 90 degrees
Triangle with no equal sides angles or sides?
A triangle with no equal sides or angles will always be classified as 'scalene'.
Why does a triangles have three sides and three angles?
That is the definition of a triangle. If it did not have three sides it would not be a triangle. If it did not have three angles, it would not be a triangle.
What are the angles from smallest to greatest in a triangle that has sides of 8.3cm 5.4cm and 7.1cm?
If you know all three sides of a triangle, you can calculate the angles using the law of cosines. If you only want to know which angle is the smallest, it is much simpler: The angle that is opposite to the smallest side is the smallest angle; the angle that is opposite to the largest side is the largest angle.
What shape has the smallest number of sides a regular polygon with obtuse angles can have?
An obtuse triangle has 3 sides.
What is the relation between the angles and sides of a triangle?
In one triangle, the largest side corresponds to the largest angle and vice versa.
What is the classification of the triangle?
A triangle can be classified according to its sides or the magnitude of its largest angle (two of the angles MUST be acute angles). All three sides equal: equilateral. Such a triangle must be equiangular, but that term is rarely used. Two equal angles, third one different (or two sides equal and third different): isosceles. All three angles different (all three sides different): scalene. Largest angle = 90 degrees: A right angled triangle. Largest angle obtuse: An obtuse angled triangle.
What is the smallest angle of a triangle with a ratio of 2 to 3 to 4?
It depends on whether the ratio refers to the angles of the triangle or the length of the sides.
Is it true that the largest angle of a triangle is between the two longest sides?
Not always because the largest angle of a right angle triangle is between its smallest sides which measures 90 degrees
Triangle with no equal sides angles or sides?
A triangle with no equal sides or angles will always be classified as 'scalene'.
How many sides and angles does a scalene triangle have?
Sides and Angles in a TriangleBy definition, a triangle has three sides. Since the number of sides and angles is equal, it would also have three angles.
All angles are right angles or a triangle has four sides?
False - and false ! Not ALL angles are right-angles - and a triangle has THREE sides !
How man angles does a triangle have?
A triangle has 3 angles and 3 sides, which is why it is called a TRIangle.
Does a triangle have 3 sides and 3 angles?
Yes a triangle consists of three sides and three angles.
Why does a triangles have three sides and three angles?
That is the definition of a triangle. If it did not have three sides it would not be a triangle. If it did not have three angles, it would not be a triangle.
