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Q: How can you calculate the length of the hypotenuse of a right angle triangle?

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sin θ : 1 = the length of opposite side to angle θ : the length of the hypotenuse

In a right angles triangle the sides are named the hypotenuse (the side opposite the right angle) and the other two sides are called the adjacent and the opposite sides. 1) The sine of an angle = length of the opposite side ÷ length of the hypotenuse. 2) The cosine of an angle = length of the adjacent side ÷ length of the hypotenuse. Using 1) The length of the hypotenuse = length of the opposite side ÷ the sine of the angle. Using tables or a calculator obtain the sine of the angle and divide this into the length of the opposite side. The result will be the length of the hypotenuse.

10.95 cm

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

I believe you need 2 pieces of data (either an angle or another length) before you can calculate anything about the triangle. Anyone else can correct me if I'm wrong.

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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.

If it's a right angle triangle then:- a2+b2 = c2 where 'c' is the hypotenuse and the square root of this is the length of the hypotenuse when 'a' and 'b' are the other sides of the right angle triangle.

Yes... opposite an angle of a right triangle to the length of the triangle's hypotenuse.

the sides can be found out by using trignometry.. sines and cosines.. sine of an agle is perpendicular/hypotenuse cosine of an angle is base/hypotenuse..

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.

sin θ : 1 = the length of opposite side to angle θ : the length of the hypotenuse

The hypotenuse of the right angle triangle is 89 units in length

You get the sine of the angle. For a right triangle: sin (x) = opposite/hypotenuse cos (x) = adj./hypotenuse tan (x) = opposite/adj

Using Pythagoras' theorem for a right angle triangle its hypotenuse length is 78 in.

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.

The sine of an angle of a right triangle - which is a triangle containing one 90o angle - is calculated as the length of the side opposite the angle divided by the length of the hypotenuse. For very small values of x, sin(x) is approximately equal to x.

If it's a right angle triangle then using Pythagoras' theorem then the length of the hypotenuse is about 44.65422712 cm

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