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What is the length of the hypotenuse and its smallest angle of a right angle triangle whose other two sides are 2.34 cm and 1.64 cm?
Wiki User
∙ 6y ago
The hypotenuse can be found via the Pythagorean theorem, i.e., it is equal to the square root of (2.34 squared + 1.64 squared).The angles can be found via trigonometry; in this case, the smallest angle is the angle opposite the smallest side, and the tangent of the angle is equal to 1.64 / 2.34 (so, you need to calculate the arc-tangent of this ratio).
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoHypotenuse: 2.86 cm to two decimal places using Pythagoras' theorem.
Smallest angle: 35.02 degrees to two decimal places using trigonometry
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What is the length of the hypotenuse and its smallest angle of a right angle triangle with sides of 2.34 cm and 1.64 cm?
Length of hypotenuse using Pythagoras' theorem: 2.86 cm rounded Smallest using cosine rule: 35.02 degrees rounded
What is the smallest angle of a right angle triangle when its hypotenuse is 7.4cm with one of its sides 4.6cm in length?
The smallest angle of the triangle is opposite to its smallest side which is 4.6cm and so by using the sine rule: A/a = B/b = C/b the smallest angle works out as 38.43 degrees rounded to two decimal places.
How do you use sine in math?
The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.
What is the hypotenuse if the legs are 39 and 80?
The hypotenuse of the right angle triangle is 89 units in length
What is the length of the hypotenuse if a triangle has legs 25 cm and 37 cm?
If it's a right angle triangle then using Pythagoras' theorem then the length of the hypotenuse is about 44.65422712 cm
What is the length of the hypotenuse and its smallest angle of a triangle whose other lengths are 2.34 cm and 1.64 cm?
If it has an hypotenuse then it must be a right angle triangle then by using Pythagoras' theorem its hypotenuse is 2.86 cm rounded and by using trigonometry its smallest angle is 35.02 degrees rounded.
What is the length of the hypotenuse and its smallest angle of a right angle triangle with sides of 2.34 cm and 1.64 cm?
Length of hypotenuse using Pythagoras' theorem: 2.86 cm rounded Smallest using cosine rule: 35.02 degrees rounded
Is it true the sine ratio relates the length of the leg the angle that is in question to the length of the hypotenuse?
Yes... opposite an angle of a right triangle to the length of the triangle's hypotenuse.
What is the smallest angle of a right angle triangle when its hypotenuse is 7.4cm with one of its sides 4.6cm in length?
The smallest angle of the triangle is opposite to its smallest side which is 4.6cm and so by using the sine rule: A/a = B/b = C/b the smallest angle works out as 38.43 degrees rounded to two decimal places.
In a right triangle the sine of any angle is?
The longest side of the right angles triangle is called the hypotenuse. Divide the length of the side opposite the chosen angle by the length of the hypotenuse. This is the Sine of the angle.
How do you use sine in math?
The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.
What is the smallest angle and length of its hypotenuse when a right angle triangle has sides of 2.34cm and 1.64cm?
Using the sine rule its smallest angle is 35.02 degrees rounded to two decimal places. Using Pythagoras' theorem its hypotenuse is 2.86cm rounded to two decimal places.
Fill in the blank If the shortest leg of a 30-60-90 triangle has length 11 the length of the hypotenuse is?
22, The shortest side is opposite the smallest angle. As it is a right angle triangle, the Sine ratio can be used: Sine = opposite/hypotenuse ⇒ hypotenuse = opposite/sine = 11/sine 30o = 11 ÷ 1/2 = 22
In a right triangle the ratio of the length of the side opposite an acute angle to the length of the hypotenuse?
sin θ : 1 = the length of opposite side to angle θ : the length of the hypotenuse
What is the ratios function of sin?
The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.
What is the hypotenuse if the legs are 39 and 80?
The hypotenuse of the right angle triangle is 89 units in length
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
