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What are the smallest and largest angles of a triangle with sides 7.6cm 9.2cm and 5.7cm?
Wiki User
∙ 7y ago
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°
Wiki User
∙ 7y ago
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What are the angles from smallest to greatest in a triangle that has sides of 8.3cm 5.4cm and 7.1cm?
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A triangle with no equal sides or angles will always be classified as 'scalene'.
What is the relationship between the lengths of the sides and the measurements of the angles in a triangle?
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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.
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What is the classification of the triangle?
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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.
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Does a triangle have 3 sides and 3 angles?
Yes a triangle consists of three sides and three angles.
What is the relationship between the lengths of the sides and the measures of the angles in a triangle?
Relationship between the lengths and the measures of angles are related to theorems like the opposite side of the largest angle is the largest side two equal angles oppositee sides are also equal
