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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.

Q: Can you use the tangent ratio to find the length of the hypotenuse?

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Use tangent to find the other leg, and the sine or cosine to find the hypotenuse.

Using the mathematical principles of trigonometry, you will need to know the lengths of any two of the sides of the right-angled triangle in order to calculate the other angles. The ratios of the lengths can be looked up in tables (or a scientific calculator may be used) to find the angle. The three sides of a right angled triangle have names as follows:- Hypotenuse - the longest side of the triangle, opposite the right angle Adjacent - the side next to the angle you wish to know Opposite - the side opposite the angle you wish to know The ratios are named as follows:- Sine - ratio of length of Opposite divided by length of Hypotenuse Cosine - ratio of length of Adjacent dived by length of Hypotenuse Tangent - ratio of length of Opposite divided by length of Adjacent These can be remembered by the mnemonic SOH CAH TOA Depending on which sides have the known lengths, calculate the ratio and look up the value for the angle in the Sine, Cosine or Tangent table as applicable. Once the value for one angle is known, the value for the other angle is 90 minus the value of the known angle.

Sine ratio = opposite/hypotenuse

Use tangent. Your equation will be tan(slope of hypotenuse) = opposite side / adjacent side. it's easier if you just do A squared plus b squared equals c squared. Then subtitute the numbers gived in.

Sides have lenght, angles do not. Cosine is the ratio of the adjacent side to the hypotenuse. Cosine can be used to find either of these sides if the other is known.

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Use tangent to find the other leg, and the sine or cosine to find the hypotenuse.

Rearrange the sine ratio of sine = opposite/hypotenuse: hypotenuse = opposite/sine hypotenuse = 12/sine 30 degrees = 24 Therefore the hypotenuse is 24 units in length.

Using the mathematical principles of trigonometry, you will need to know the lengths of any two of the sides of the right-angled triangle in order to calculate the other angles. The ratios of the lengths can be looked up in tables (or a scientific calculator may be used) to find the angle. The three sides of a right angled triangle have names as follows:- Hypotenuse - the longest side of the triangle, opposite the right angle Adjacent - the side next to the angle you wish to know Opposite - the side opposite the angle you wish to know The ratios are named as follows:- Sine - ratio of length of Opposite divided by length of Hypotenuse Cosine - ratio of length of Adjacent dived by length of Hypotenuse Tangent - ratio of length of Opposite divided by length of Adjacent These can be remembered by the mnemonic SOH CAH TOA Depending on which sides have the known lengths, calculate the ratio and look up the value for the angle in the Sine, Cosine or Tangent table as applicable. Once the value for one angle is known, the value for the other angle is 90 minus the value of the known angle.

Remember SOHCAHTOA which means, the Sin of an angle is equal to the Opposite side divided by the Hypotenuse, the Cos of an angle is equal to the Adjacent side divided by the hypotenuse, and the Tangent of an angle is equal to the Opposite side divided by the Adjacent side. So as long as you have two sides of a right triangle, then you can find the angles and the length of the third side.

Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length.

Two methods to try . #1 Use pythagoras h^ = a^2 + a^2 NB THis is only good if you know that the two unknown sides are the same length. #2 Use trigonometry (trig.) This is good if you know the hypotenuse and one of the angles. Sine(angle) = opposite/ hypotenuse Hence opposite side = hypotenuse X sine(angle) Similarly Cosine(angle) = adjacent / hypotenuse. adjacent side = hypotenuse X Cosine(angle) Here is an example If you known the hypotenuse is a length of '6' and the angle is 30 degrees. Then opposite = 6 X Sin(30) opposite = 6 x 0.5 = 3 So the length of the oppisute sides is '3' units. NB DO NOT make the mistakes of saying Sin(6 X 30) = Sin(180) Nor 6 x 30 , nor Sin(6) X 30 , nor any other combination. You MUST find the SINE of the angle , then multiply it to the given length. Similarly for Cosine and Tangent.

Sine ratio = opposite/hypotenuse

Use tangent. Your equation will be tan(slope of hypotenuse) = opposite side / adjacent side. it's easier if you just do A squared plus b squared equals c squared. Then subtitute the numbers gived in.

Sides have lenght, angles do not. Cosine is the ratio of the adjacent side to the hypotenuse. Cosine can be used to find either of these sides if the other is known.

Using Pythagoras's theorem the hypotenuse is the square root of 2 units of length

Sin is opposite over hypotenuse. Just think of this to help you: SOH-CAH-TOA Sine = opposite over hypotenuse Cosine = adjacent over hypotenuse Tangent = opposite over adjacent Hope that helps you.

If the only information you have is the length of one side of a triangle, there are an infinite number of triangles having that length. Since the hypotenuse is defined to be "The side opposite the right angle in a plane right triangle", you will need the length of the other side to find the hypotenuse using the Pythagorean theorem. Alternatively you need to know the other angles. Then you can use the appropriate trig function to find the length of the hypotenuse.