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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
What is the area of a triangle with a hypotenuse of 21 and a leg of 16?
The hypotenuse of 21 does not yield an integral value for the second leg. The legs are 16 and the square root of 185, which is about 13.6 The area of the triangle is 1/2 (16 x 13.6) = about 108.8 212 = 162 + x2 x2 = 185 x = 13.6
The length of sides of right angles of a right angled triangle are 5x and 3x-1 cm if the area of triangle is 60 cm 2 find the hypotenuse?
find the lenght of the hypotenuse of a right triangle whose sides are (3x-1)cm and (x+2)cmImproved answer by David Gambell:-0.5*(3x-1)*5x = 6015x2-5x-120 = 0Solving the quadratic equation gives x a positive value of 3Using Pythagoras: 82+152 = 289 and its square root is 17So the hypotenuse is 17 cm
What is the hypotenuse of a 45-45-90 triangle with an area of 32 sq cm?
Let the base be x and the height be x because their lenghts will be the same as it is a 45-45-90 triangle: 1/2*base*height = area 1/2*x*x = 32 1/2*x2 = 32 Multiply both sides by 2 and then square root both sides: x = 8 cm Use Pythagoras' theorem: 82+82 = 128 and the square root of this is 11.3137085 Therefore: hypotenuse = 11.314 cm correct to 3 decimal places
What are sine cosine tangent cosecant secant cotangent?
They are usually introduced in mathematics as trigonometric ratios. In a right angled triangle, there is (by definition) a right angle and the side opposite that is called the hypotenuse. Select one of the two acute angles, X. It is formed by two sides, one of which is the hypotenuse and the other is called the adjacent side. The third side, opposite the selected angle, is called the opposite side. Suppose the lengths of these three sides are h, a and o. Then sin(X) = o/h cosec(X) = 1/sin(X) = h/o cos(X) = a/h sec(X) = 1/cos(X) = h/a tan(X) = o/a cot(X) = 1/tan(X) = a/o
Can cosine be greater than one?
No. It has to lie in between -1 an +1 inclusive. Cos x = adjecent/hypotenuse and for cos x to be greater than 1, you need the adjacent to be bigger than the hypotenuse. The hypotenuse is always the biggest side.
What is the hypotenuse of a 1 X 1 meter square?
Use Pythagoras' theorem: 12+12 = 2 and the square root of this is hypotenuse which is about 1.414213562 meters
What is the length of the side opposite the 60?
(1/2) x (length of the hypotenuse) x sqrt(3)
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.
How do you find cos θ sec θ cot θ and the hypotenuse of the right triangle with a known sin θ equals 2 over x?
By using the sine ratio, you know two sides of the right triangle (the opposite and hypotenuse) and so can work out the third side (adjacent) using Pythagoras (opposite2 + adjacent2 = hypotenuse2). You can then use the trigonometric ratios to calculate cos θ, sec θ, cot θ, and the hypotenuse you already have. Sin θ = opposite/hypotenuse = 2/x ⇒ opposite = 2, hypotenuse = x, and adjacent = √(x2 - 4) Thus: cos θ = adjacent/hypotenuse = √(x2 - 4)/x sec θ = 1/cos θ = hypotenuse/adjacent = x/√(x2 - 4) cot θ = 1/tan θ = adjacent/opposite = √(x2 - 4)/2 Hypotenuse = x.
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
How do you solve 45 45 90 triangles?
-- The length of each leg is (length of the hypotenuse) / sqrt(2) = 0.7071 x (hypotenuse). -- The length of the hypotenuse is (length of either leg) x sqrt(2) = 1.414 x (leg)
What are the angles at the hypotenuse of a triangle who's y equals 1 and x equals 4?
The answer is 5 degrees.
What is the formula for cos without hypotenuse?
Cos(x) = 1 - x2/2! + x4/4! - x6/6! + ... where x is measured in radians
What is the hypotenuse constant value for right Triangles with equal sides?
You mean a isoceles? An isoceles wouldn't have a right angle but would have 2 equal sides and 1 unequal in which case the values are x and x(root)2, In a right triangle the values are x , 2x , and x(root)3. The short side is x, and the long leg is 2x and the hypotenuse is x(root)3. If you are looking for the hypotenuse equation it is a(squared) + b(squared) = c(squared) in other words, leg one squared plus leg two squared equals hypotenuse squared.
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
The length of one leg of a right triangle is 10ft and the length of the hypotenuse is 2 ft longer than the other leg What is the length of the hypotenuse and the other leg?
If the other leg has length X. Knowing the rule for triangles a^2+b^2=c^2 and that hypotenuse is x+2 10^2 + X^2 = (X+2)^2 you can solve to find X = 24 and the hypotenuse is 26.
