I spent some time attempting to work this out by algebra and came to the conclusion that there is no (real) solution to this. This triangle does not exist. Rather than my writing a page on it which culminates in a quadratic equation without real roots, I will just point out that the two statements in this question can not both be true!
If the hypotenuse (which is the longest side) is 12cm then the perimeter can not be 50cm! There is an error in either the hypotenuse given or the perimeter given. I wish I had spotted this a little sooner.
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A simple reason why this cannot be a plausible length for the hypotenuse: The hypotenuse's length should be the greatest length in the triangle.
If we subtract 12 from 50, we get 38. If the two sides were equal, then one leg's length is 19. 19 is greater than 12.
If one side of a right angled triangle is 32 and the other side is 43 the hypotenuse is 53.6
The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
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.
The hypotenuse is the longest line in a right angle triangle, or the line opposite the 90 degree angle. So a hypotenuse only exists for right angled isosceles triangles. The hypotenuse is calculated by taking the square root of the sum of the squares of the other two sides. So for example, if the one of the other sides is 1 then the hypotenuse is 2; Becuase 1 squared is 2, and as this is a right angled isosceles the other non-hypotenuse side will be the same length, so 2+2=4, then you take the square root of the sum and you get 2.
In a right angled triangle: perpendicular(p), base(b) and hypotenuse(h) are related by the following relation p2 + b2 = h2 On putting the values we get h = 501/2 inches.
If one side of a right angled triangle is 32 and the other side is 43 the hypotenuse is 53.6
The longest side is the hypotenuse and the other 2 are called the legs.
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
By using the formula a2+b2=c2, where a is one side of the right-angled triangle and b is the other side of the right angle triangle. C stands for the hypotenuse of the right-angled triangle. Note: this formula only works for RIGHT-ANGLED TRIANGLES!!!
The hypotenuse is the longest side. In a right-angled triangle, the hypotenuse is always opposite the right angle.
The two other sides are 5 cm and 12 cm because they comply with Pythagoras' theorem for a right angle triangle.
The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Pythagoras.
It states that, in an right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
No it can never be. Because the hypotenuse has to be the longest side and also square of hypotenuse should equal to sum of squares of other two sides. so if anyone finds a way to prove that 1=2 , the right angled triangle can be equilateral. Lets just wait and watch.
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.
Pythagoras's theorem, it's where you have a right-angled triangle and the squares of the 2 shortest sides added together make the square of the longest side, look up Pythagoras's theorem on Google for a more detail description.