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.
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The hypotenuse of an isosceles right triangle is 13 centimeters long. How long are its sides?
1) The hypotenuse side will ALWAYS be the the side w/ the radical 2. 2) So if you want to find the HYPOTENUSE of an ISOSCELES triangle, you MULTIPLY one of the LEGS by the the square root of 2. 3) If you want to find the LEG of an ISOSCELES triangle, you DIVIDE the HYPOTENUSE by the square root of 2. ***** Hypotenuse of an isosceles triangle= one leg divided by square root of 2. ***** Leg of an isosceles triangle= hypotenuse divided by the square root of 2. You can also get all the help you need through my page on Facebook, 'Your Help' Merna Awad-ElSols
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.
Using trigonometry. The Hypotenuse x The height