Fred Pythagoras. Each side is the square root of half of 8 squared ie root 32...
An isosceles triangle is in effect two right angled triangles joined together and in this case they have bases of 5 units and heights of 2 units so use Pythagoras' theorem to find the hypotenuse which will be the length of one of the equal legs of the isosceles triangle:- 52+22 = 29 and the square of this is about 5.385164807 or 5.385 to 3 dp
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!!!
its about 5.657. 8 divided by the square root of 2
Suppose the lengths of the legs is L metres and the hypotenuse is H metres. Then, by Pythagoras, L2 + L2 = H2 that is, 2L2 = H2 Or L2 = H2/2 so that L = H/sqrt(2)
The length of the hypotenuse is a²+b ²=c ² assuming that a and b are the other 2 sides.
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.
An isosceles triangle
Square the hypotenuse's length, halve this number and then square root the remaining number. This is the length of the other two sides. Explanation: Since this is a right angled isosceles triangle, the two other sides must be equal in length. Pythagoras theorem a2+b2=c2 (c is the hypotenuse). To get c2 we must square the hypotenuse. Since the two other sides are equal in length, a and b must be the same. Therefore a2 and b2 are both halves of c2. Halving c2 will give you both a2 and b2. Now, we just sqaure root a2 or b2 to get the length of these sides.
in an isosceles triangle, if the legs have length L, then the hypotenuse has length L square root of 2
The circumradius of a right angled triangle would be equal to half the length of its hypotenuse.
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.
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.
Use Pythagoras' theorem...a2 + b2 = c2where c is the length of the hypotenuse in a right-angled triangle.
Using Pythagoras's theorem the hypotenuse is the square root of 2 units of length
Using Pythagoras' theorem the length of the hypotenuse is 17.1 inches
Its hypotenuse is 5 and its sides are 3 and 4
An isosceles triangle is usually drawn with the two sides of equal length as the legs and the third side as the base. For a right angled isosceles triangle then the hypotenuse is drawn as the base with the two sides of equal length as the legs joining together at a right angle. Draw a circle. Draw a horizontal diameter with a second diameter perpendicular to the first. The hypotenuse is the horizontal diameter. Draw lines from the ends of this diameter to the point where one end of the second diameter meets the circumference. These are the two equal legs of the isosceles triangle. These legs meet at an angle of 90° .