The hypotenuse is the longest side of a right-angled triangle, positioned opposite the right angle. Calculating the hypotenuse is an essential skill in mathematics, specifically within trigonometry, ...

For example, if you want to find the length of the hypotenuse of a right triangle given the lengths of the other two sides, you can draw a diagram and use the Pythagorean theorem: a^2 + b^2 = c^2 ...

The sides of right-angled triangles are labelled opposite, hypotenuse and adjacent. Trigonometry explores the relationship between sides and angles in right-angled triangles. The hypotenuse is the ...

3. Hypotenuse: The longest side, which lies opposite the right angle. Using the Pythagorean Theorem The Pythagorean theorem states that in any right-angled triangle, the square of the length of the ...

Therefore, opposite side= k and adjacent side is 5k and hypotenuse = √26 k. Then Sinθ = k/√26 k = 1/√26 Question 7: In a right-angled triangle, if the ratio of smaller angles is 1:2 then find ...

The theorem’s history, however, is more complex than this legend would suggest. The use of the 3-4-5 triangle for constructing a right angle, for instance, goes back to much earlier times in ...