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Q: In any 45-45-90 triangle the length of the hypotenuse is times the length of a leg.?

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An isosceles right triangle will always have its shorter sides of the same length, and the hypotenuse will always be this length times sin(45o) or times the square root of 0.5.

If the hypotenuse is the square root of three, then the legs are (root 6)/2. If the hypotenuse is 12, then the legs are 6(root 2). This is because, for any given right isosceles triangle, the length of the hypotenuse x is root two times the length of the legs.

If it is a right angle isosceles triangle then by using Pythagoras' theorem its hypotenuse is 30 times the square root of 2

The square of the hypotenuse is equal to the length of the hypotenuse times itself. This is also equal to the sum of the squares of the other two sides in a right triangle.

In a 45-45-90 triangle, both legs are congruent and the length of the hypotenuse is square root of 2 times the length of the leg.

That's called a 45Â° right triangle. The length of the hypotenuse is equal to the length of each of the other two sides times the square root of two.

If both legs of a right triangle are the same, then it forms what is known as a "45-45-90 triangle". In this type of triangle, the hypotenuse is always √2 times more than the legs. So in this problem, with legs 3cm and 3cm, the hypotenuse is 3√2cm, or 4.243cm

The length of the longer leg of a right triangle is 3ftmore than three times the length of the shorter leg. The length of the hypotenuse is 4ftmore than three times the length of the shorter leg. Find the side lengths of the triangle.

The length of a hypotenuse of a right triangle with equal legs is equal to the length of the leg times the square root of 2.

An Isosceles right triangle. If the length of either of the two sides is N then the hypotenuse is N times the square root of 2. an isosceles right triangle can not be an equilateral triangle since the hypotenuse can not be the same size as the other two sides..

i believe eight its the shortest line times two

Using Pythagoras' theorem: 15 times the square root of 2 cm in length

Each leg length is 16 times square root of 2 or about 22,627 inches to 3 decimal places

The shorter leg is 1/2 of the hypotenuse, while the longer leg is (sin60°) times the hypotenuse or about 0.866 times as long. (7.8/0.866) gives the hypotenuse as 9.0 and 9.0/2 = about 4.5 unitsor use the tangent ratio:7.8/tan 60° = 4.5033321 or about 4.5 in length

If it is a right angle triangle then using Pythagoras; theorem its hypotenuse is 30 times the square root of 2 in inches which is about 42.426 inches rounded to 3 decimal places.

The "hypotenuse" firstly is the longest side of a triangle. This is where the perpendicular sides are joined together by a longer diagonal side. Now, to work out what the length of an hypotenuse, it is essential to know what "Pythagoras Theorem". This is the equation that A squared plus B squared equals C squared where A and B are any side on the triangle other than the hypotenuse and C is the hypotenuse. To square a number, you just have to times it by itself, so if we square 10, it would be 10X10 which is a hundred. After you square A and B, you simply add them both together.

The hypotenuse is 15. The Pythagorean Theorum states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides; in other words, if c is the length of the hypotenuse, and a and b are the lengths of the other two sides:a2 + b2 = c2In this case, a = 9 (a2 = 81) and b = 12 (b2 = 144), and a2 + b2 = 81 + 144 = 225. But we know that this is also equal to c2. If c2 = 225, then c = √225 = 15.Also, just a little thought reveals that this triangle is a "3-4-5" triangle. For any right triangle with non-hypotenuse sides of length 3 and 4 units, the hypotenuse will be 5 units in length. Because units are arbitrary, this relationship extends to multiple of 3, 4, and 5. 9 and 12 are 3 times 3 and 4. So the hypotenuse is 3 times 5, or 15.

Using Pythagoras' theorem the hypotenuse is 3 times square root of 5 which is about 6.708 cm rounded to 3 decimal places

First find the length of the base: base = area times 2 divided by height base = 24 times 2 divided by 8 = 6 inches Then use Pythagoras' Theorem to find length of the hypotenuse: base2 + height2 = hypotenuse2 62 + 82 = 100 square inches. Square root of 100 = 10 inches. Therefore the length of the hypotenuse is X inches.

-- The side opposite the 90Â° angle, known as the hypotenuse, is the longest of the three sides. The other two sides are called the "legs". -- The length of the leg opposite the 30Â° angle is 1/2 of the hypotenuse. -- The length of the leg opposite the 60Â° angle is 1/2 of the hypotenuse times sqrt(3). -- The sum of the squares of the lengths of the legs is the square of the length of the hypotenuse.

The other sides are both 16. This is because in a 45-45-90 triangle the legs are congruent because of the isosceles triangle theorem, and also the hypotenuse of the triangle is equal to the leg times root 2. That is because of the 45-45-90 triangle theorem. So in a summary the legs are congruent and the hypotenuse is equal to the leg times root 2.

Using Pythagoras' theorem for a right angle triangle the other leg is 3 times the square root of 7

It is: 26 times square root 2 mm or about 36.769 to 3 decimal places

If its a right angle triangle then the hypotenuse using Pythagoras 2 times the square root of 149

One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).