Hypotenuses can cave any real vale and, since real numbers are infinitely dense, the ratio of "successive" lengths is as close to 1 as you can get.
No; the tangent ratio only deals with the lengths of the opposite side and adjacent side. You can square the two sides and add them together, then find the square root of the sum to find the length of the hypotenuse.
Apply the 'aide memoire'. Soh , Cah, Toa. To find the Sine you apply Soh ; so you need to known the lengths of the opposite and the hypotenuse. Cosine(Cos) you apply Cah ; so you need to known the lengths of the adjacent and the hypotenuse. Tangent(Tan) you apply Toa ; so you need to known the lengths of the opposite and the adjacent .
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In a right triangle where the lengths of two sides are known, such as the lengths of one leg and the hypotenuse, you can use trigonometric ratios to find the measure of an angle. For example, if you know the lengths of the opposite side and the hypotenuse, you can use the sine function: (\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}). By taking the inverse sine (arcsin) of the ratio, you can calculate the angle (\theta). Similarly, you can use cosine or tangent depending on which sides you have.
Sine ratio = opposite/hypotenuse
No; the tangent ratio only deals with the lengths of the opposite side and adjacent side. You can square the two sides and add them together, then find the square root of the sum to find the length of the hypotenuse.
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The cosine of an angle in a right triangle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. Mathematically, it can be expressed as ( \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} ). This relationship is fundamental in trigonometry and is used to find unknown side lengths or angles in right triangles.
Apply the 'aide memoire'. Soh , Cah, Toa. To find the Sine you apply Soh ; so you need to known the lengths of the opposite and the hypotenuse. Cosine(Cos) you apply Cah ; so you need to known the lengths of the adjacent and the hypotenuse. Tangent(Tan) you apply Toa ; so you need to known the lengths of the opposite and the adjacent .
other side is 4, hypotenuse is 5
In a right triangle where the lengths of two sides are known, such as the lengths of one leg and the hypotenuse, you can use trigonometric ratios to find the measure of an angle. For example, if you know the lengths of the opposite side and the hypotenuse, you can use the sine function: (\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}). By taking the inverse sine (arcsin) of the ratio, you can calculate the angle (\theta). Similarly, you can use cosine or tangent depending on which sides you have.
Sine ratio = opposite/hypotenuse
To find the side lengths and hypotenuse of a right angle triangle.
In a right angle triangle divide the opposite by the hypotenuse to find the sine ratio.
You can't. The hypotenuse alone isn't enough to tell you anything about the lengths of the legs. There are an infinite number of different right triangles that all have the same hypotenuse but different legs.
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
If it's a right angle triangle then use Pythagoras' theorem to find its various lengths.