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What descibes the relationship between the length of the legs and the hypotenuse in a right triangle?
They are described by the famous Pythagoras theorem, if "a" and "b" are the legs and "h" the hypotenuse, then h x h = (a x a) + (b x b) Also a = h x sinB (where B is the internal angle (of the triangle) between the hypotenuse and side b and b = h x sinA (where A is the internal angle (of the triangle) between the hypotenuse and side a
In an isosceles right triangle the hypotenuse is radical three and if the hypotenuse is 12 then what is the smaller leg of that triangle?
If the hypotenuse is the square root of three, then the legs are (root 6)/2. If the hypotenuse is 12, then the legs are 6(root 2). This is because, for any given right isosceles triangle, the length of the hypotenuse x is root two times the length of the legs.
What is the value of x in a triangle if the hypotenuse is 28 and the other leg is 14?
24.25
How do you work out the base of an isosceles triangle?
Using trigonometry. The Hypotenuse x The height
Does the hypotenuse of a triangle represent a third dimension?
No, the hypotenuse of a triangle does not represent a third dimension. A triangle is a 2 dimensional figure consisting of only dimensions in terms of x and y. In order to be a 3d figure it would need dimensions defined in terms of x, y, and z.
If you divide length of the opposite side of an angle in a right triangle by the length of the hypotenuse what value do you get?
You get the sine of the angle. For a right triangle: sin (x) = opposite/hypotenuse cos (x) = adj./hypotenuse tan (x) = opposite/adj
Definition of the 6 trigonometric functions?
The six main trigonometric functions are sin(x)=opposite/hypotenuse cos(x)=adjacent/hypotenuse tan(x)=opposite/adjacent csc(x)=hypotenuse/opposite cot(x)=adjacent/opposite sec(x)=hypotenuse/adjacent Where hypotenuse, opposite, and adjacent correspond to the three sides of a right triangle and x corresponds to an angle in that right triangle.
What descibes the relationship between the length of the legs and the hypotenuse in a right triangle?
They are described by the famous Pythagoras theorem, if "a" and "b" are the legs and "h" the hypotenuse, then h x h = (a x a) + (b x b) Also a = h x sinB (where B is the internal angle (of the triangle) between the hypotenuse and side b and b = h x sinA (where A is the internal angle (of the triangle) between the hypotenuse and side a
What does sin x mean?
It means the ratio of the opposite angle to the hypotenuse of a triangle for angle "x". This is for a right triangle.
In an isosceles right triangle the hypotenuse is radical three and if the hypotenuse is 12 then what is the smaller leg of that triangle?
If the hypotenuse is the square root of three, then the legs are (root 6)/2. If the hypotenuse is 12, then the legs are 6(root 2). This is because, for any given right isosceles triangle, the length of the hypotenuse x is root two times the length of the legs.
What is the value of x in a triangle if the hypotenuse is 28 and the other leg is 14?
24.25
How do you work out the base of an isosceles triangle?
Using trigonometry. The Hypotenuse x The height
Does the hypotenuse of a triangle represent a third dimension?
No, the hypotenuse of a triangle does not represent a third dimension. A triangle is a 2 dimensional figure consisting of only dimensions in terms of x and y. In order to be a 3d figure it would need dimensions defined in terms of x, y, and z.
Why do you need sqrt 2 to divide the hypotenuse of a 45-45-90 triangle?
A 45-45-90 triangle is an isosceles right angled triangle. If its two short sides are of length x units then, by Pythagoras, the hypotenuse is given by: hypotenuse2 = x2 + x2 = 2x2 Taking square roots, hypotenuse = sqrt(2x2) = sqrt(2)*x
How do you find the unknown side of a right triangle given the length of another side and an angle?
opposite/hypotenuse = sin(x) adjacent/hypotenuse = cos(x) opposite/adjacent = tan(x) where 'x' is the angle in question.
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 length of the hypotenuse of a right triangle if the the legs have a length of 4 cm?
4 x sqrt2
