The hypotenuse of a 90-degree triangle with two nine inch sides is: 12.73 inches.
If those are the lengths of the triangle's sides, then you have a "right" triangle. The angle opposite the 5-inch side is a 90-degree angle.
Need the angle between those two sides, or some more info. Imagine taking a 1 inch tooth pick and a 2 inch toothpick. Now line up the tips and you can make tons of angles. If you joined the outer tips of your toothpicks you would have a triangle. Can you see that you can have many different sides lengths depending on the angle between them?
Other leg is sqrt(36 - 4) ie 5.657 to the nearest thousandth of an inch
2.3
No because in order to construct a triangle the sum of its 2 shortest sides must be greater than its longest side and from the given dimensions 2+1 is less than 4 and so therefore a triangle is not possible.
The word hypotenuse implies this is a right triangle. An isosceles right triangle has sides of 1, 1, and sqrt(2), or multiples of those. So the hypotenuse = 5*sqrt(2), which is approximately 7.07 feet or about 7 ft and 7/8 inch.
For example you can cut out a 3 inch base, 4 inch height and a 5 inch hypotenuse of a right angle triangle to prove Pythagoras' theorem that the hypotenuse squared is equal to the sum of its squared sides:- 32+42 = 52
If those are the lengths of the triangle's sides, then you have a "right" triangle. The angle opposite the 5-inch side is a 90-degree angle.
The Pythagorean Theorem.
scalene
No. A triangle with 2-inch sides is not congruent with a triangle with 3-inch sides.
You need 2/3 of the sides to figure the length of the hypotenuse but the hypotenuse is always the longest side and the formula is a2 + b2 = c2 so if you have a and b you plug them in and solve. You cannot tell what the length of the hypotenuse in a right triangle is because you need 2 "legs" to find the hypotenuse using the Pythag. theorem. If both legs were "1" inch in length then you would be able to find that the hypotenuse is ≈ 1.41421356 because 12 + 12 = c2 simplifies to 1 + 1 = c2 and 1 + 1 is 2 and the √ of 2 or √2 is equal to approximately 1.41421356.
Depending on the information given;- If two other(shorter) sides are known, use Pythagoras. h^(2) = a^(2) + b^(2) If one angle and one side are given then you use Trigonometry . Sin(angle) = opposite/ hypotenuse hypotenuse = opposite/Sin(angle) or Cos(angle) = adjacent/hypotenuse hypotenuse = adjacent/ Cos(Angle).
9
It is 40 inches in length
Use a "three four five" triangle. Having one leg measure exactly three inches, the other leg exactly four inches, and the hypotenuse measure exactly five inches will yield a ninety degree angle. If you are drawing out the triangle, it may be easier to measure a three inch line using a straightedge and then use a compass to find the point of intersection for the other leg and the hypotenuse.
You use the Pythagorean Theorem, which says that the square of the hypotenuse of a right triangle is the sum of the squares of the other two sides. Two adjacent sides of a square (or any rectangle) together with a diagonal form a right triangle. In the case of a square, the triangle is isosceles. Calling the length of a side of the square (17 inches) one unit, the theorem tells us that the hypotenuse is the square root of 2 units. Therefore the diagonal of the square is 17 times the square root of 2 inches, which is about 24 inches.