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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
