If we want to solve the hypotenuse in a right triangle we have to take into consideration that the sides and angles are related to each other through trigonometric ratios. Thus, if we know the adjacent side (the base of the triangle) and the acute angle related to that side, we ca...
To find the length of the hypotenuse (c): Use the Pythagoras theorem formula: c = √(a² + b²) To find the length of one leg (a or b): If you know the hypotenuse and the length of one leg, rearrange the Pythagoras theorem formula to solve for the missing leg: a = √(c...
Using the Pythagoras theorem, Hypotenuse2 = Base2 + Height2 = 82 + 62. This leads to Hypotenuse2 = 64 + 36 = 100. Therefore, hypotenuse = √100 = 10 units. Therefore, the length of the hypotenuse is 10 units. Practice Questions on Pythagoras TheoremFAQs...
We can find the hypotenuse of a right triangle by using the Pythagorean theorem formula if we are given the opposite and adjacent side. If we are given one side length and one angle, we need to use one of the trigonometric formulas such as the sine, cosine, or tangent equations.What...
Using this formula, we can find the sine of the angle whose value is doubled. We are familiar that sin is one of the primary trigonometric ratios that is defined as the ratio of the length of the opposite side (of the angle) to that of the length of the hypotenuse in a right-...
Using the Hypotenuse Formula for Circles To apply the formula shown in the previous section to find the equation of a circle, one must follow these steps: Preferably, the circle must be drawn on a coordinate system to facilitate finding positions and lengths. ...
Ans : The square of the length of the hypotenuse, according to the Pythagorean theorem, is equal to...Read full What is the general formula for the Pythagorean theorem? Ans : The equation for the Pythagorean theorem is written as c...Read full What Pythagoras is famous for? Ans : Pythag...
If we know the length and width of a rectangle, we can use Pythagorean Theorem to find the length of its diagonal. In the given figure, ADB forms a triangle right-angled at A. The diagonal (BD) of the rectangle forms its hypotenuse. so, using the pythagorean theorem, we get, diago...
Mathematically, it can be represented as: a² + b² = c² where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse. Trigonometric Ratios: Trigonometric ratios relate the angles of a right triangle to the lengths of its sides. The ...
The diagonal of a square is a line segment that joins any two non-adjacent vertices. A square has two diagonals that are equal in length and bisect each other at right angles.