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If the lengths of the three sides are a, b and c units, then the angle opposite side a, that is, angle A is given by
cos-1[b2 + c2 - a2)/(2bc)]
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When given all three side lengths of a triangle but none of the angle measures you can solve for all angle measures using?
With trigonometry by using the cosine rule
How do you find the width and length of a rectangle knowing ONLY the diagonal and its angle?
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
What is the largest angle of a triangle with sides of 14 cm 8.5 cm and 9 cm?
The largest angle of the triangle will be opposite its largest side and by using the Cosine Rule it works out as 106.23 degrees.
What is the length of the third side of a triangle when the other sides are 17 cm in length with an angle of 45 degrees between them?
Using the cosine rule: 13.0112367 cm The triangle is in fact an isosceles triangle.
An isoceles triangle has two sides of 52 and one side of 40 What are the angles?
Let the sides be abc and their opposite angles be ABC and so: Using the cosine rule angle A = 67.38 degrees Using the cosine rule angle B = 67.38 degrees Angle C: 180-67.38-67.38 = 45.24 degrees
When given all three side lengths of a triangle but none of the angle measures you can solve for all angle measures using .?
With trigonometry by using the cosine rule
When given all three side lengths of a triangle but none of the angle measures you can solve for all angle measures using?
With trigonometry by using the cosine rule
How do you use sine cosine and tangent?
They are used to find the angle or side measurement of a right triangle. For example, if 2 sides of a right triangle have known values and an angle has a known measurement, you can find the third side by using sine, cosine or tangent.
What is the biggest angle of a triangle that has sides of 9cm by 14cm by 8.5cm?
By using the cosine rule in trigonometry the biggest angle works out as 106.23 degrees.
How do you find the width and length of a rectangle knowing ONLY the diagonal and its angle?
By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)
What is the largest angle of a triangle with sides of 14 cm 8.5 cm and 9 cm?
The largest angle of the triangle will be opposite its largest side and by using the Cosine Rule it works out as 106.23 degrees.
What is the length of the third side of a triangle when the other sides are 17 cm in length with an angle of 45 degrees between them?
Using the cosine rule: 13.0112367 cm The triangle is in fact an isosceles triangle.
An isoceles triangle has two sides of 52 and one side of 40 What are the angles?
Let the sides be abc and their opposite angles be ABC and so: Using the cosine rule angle A = 67.38 degrees Using the cosine rule angle B = 67.38 degrees Angle C: 180-67.38-67.38 = 45.24 degrees
What is the smallest angle of a triangle with sides of 6.4 cm 8.2 cm and 5.7 cm?
The smallest angle will be opposite the smallest side of the triangle and so by using the cosine rule it works out as 43.84 degrees.
What are the interior angles to 1 decimal place of a scalene triangle with sides 12 cm 14 cm and 16 cm showing work?
Let the sides be a, b and c and their opposite angles be A, B and C Using the cosine rule angle A = 75.5 degrees Using the cosine rule angle B = 57.9 degrees Angle C muct be 46.6 degrees because there are 180 degrees in a triangle Cosine Rule: cos A = (b2+c2-a2)/(2*b*c)
What is the area of a triangle when the sides are 10 by 8 by 12?
Using the cosine formula the angle between lengths 8 and 12 is 55.77113367 degrees. Using the sine formula the area of the triangle is 39.68626966 or about 40 square units.
What is the radius of the circumcircle of a triangle with sides of 4cm by 5cm by 6cm?
Using the cosine rule the biggest angle is: 82.81924422 degrees Using radius formula for circumcircle of a triangle the radius is: 3.023715784 cm
