answersLogoWhite

0

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.

User Avatar

Wiki User

13y ago

What else can I help you with?

Related Questions

What is the length of the hypotenuse of the right triangle if AC equals 6 and AD equals 5?

The length of the hypotenuse of a right triangle if AC equals 6 and AD equals 5 is: 7.81


What is the hypotenuse of a right triangle A equals 40 feet and B equals 40 feet?

The hypotenuse is 56.57 feet.


In a right triangle with the hypotenuse c equals 10 and the angle A equals 50 degrees the angle B equals?

In a right triangle with the hypotenuse c equals 10 and the angle A equals 50 degrees the angle B equals: 40 degrees.


The cosine of an angle equals the ratio of the?

adjacent side to the hypotenuse in a right triangle.


What is the height of a right angle triangle if the base equals 4 and the hypotenuse equals 10?

9.165151389911680013176094387456


What is the length of a leg of a right triangle with hypotenuse equals 22.5km and leg equals 44.7mm?

A hypotenuse should not be shorter than a leg length.


How is a triangle classified as a right triangle?

The formula is A2 + B2=C2. Say if 102 +102=202.The hypotenuse is 202.So 102 +102=200.And 202=200. the triangle is a right triangle. It equals the hypotenuse.


What's the equation to find the length of a hypotenuse of a triangle?

The basic equation for the hypotenuse of a right angled triangle is A squared plus B squared equals C squared. Where A and B are the two non hypotenuse sides and C is the hypotenuse. To find other lengths and angles of a triangle various functions in the branch of mathematics known as trigonometry is used.


What is the formula for finding the length of the hypotenuse of a right triangle?

The forumal for finding the finding the length of the hypotenuse of a right triangle is square root of a squared plus b squared equals c. The letters a and b are the two sides that the length is known and the c is the unknown side.


What is the sum of the squares of legs in a right triangle equals to the square hypotenuse?

That is the Pythagoras theorem.


Segment ab equals 9 segment bc equals 12 what is the hypotenuse of right triangle abc?

15


What is hypotenuse in right angle triangle?

The hypotenuse is the longest side of a right angled triangle.