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How do you find the other sides of a right angled isosceles triangle when you know the hypotenuse?
Wiki User
∙ 11y ago
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.
Wiki User
∙ 11y ago
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What is hypotenuse of a isosceles triangle?
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.
If one side of a right angled triangle is 32 and the other side is 43 what is the hypotenuse?
If one side of a right angled triangle is 32 and the other side is 43 the hypotenuse is 53.6
What is a isosceles right triangle?
In an isosceles right angled triangle,1 angle is 90 degrees and the other two are equal ,each is 45 degrees
Why is the hypotenuse?
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.
Can a right triangle also be an isosceles triangle or can it be an equilateral triangle explain?
A right triangle can be an isosceles triangle, because the definition of an isosceles triangle is a triangle that has 2 sides equal to each other. A 45,45,90 degree triangle has 2 sides equal to each other, while the hypotenuse is different. It cannot be an equilateral triangle because of the formula a^2+b^2=c^2. With this formula, there is no possible way that: a, b, and c can all be equal to each other. To recap: It can be an isosceles triangle, but not an equilateral one.
What is hypotenuse of a isosceles triangle?
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.
If one side of a right angled triangle is 32 and the other side is 43 what is the hypotenuse?
If one side of a right angled triangle is 32 and the other side is 43 the hypotenuse is 53.6
How many lines of symmetry in right angled triangle?
For a right isosceles triangle (45-45-90), there is one line of symmetry that bisects the hypotenuse. For all other right triangles, there are zero lines of symmetry.
What triangle longest side is called hypotenuse?
The longest side is the hypotenuse and the other 2 are called the legs.
What is the length of a 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.
What type of triangle has one side twice as long as the other side?
A right triangle. * * * * * Not necessarily. All that can be said is that is is not an equilateral triangle. It can be isosceles or scalene. It can be acute angled, right angled or obtuse angled.
What is a isosceles right triangle?
In an isosceles right angled triangle,1 angle is 90 degrees and the other two are equal ,each is 45 degrees
How can you calculate the length of the hypotenuse of a right angle triangle?
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!!!
Is hypotenuse is greater from other sides in Pythagoras theorem?
The hypotenuse is the longest side. In a right-angled triangle, the hypotenuse is always opposite the right angle.
What type of triangle has two equal sides and a right angle?
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..
Can a right-angled triangle be isosceles?
Yes, it is called a right isosceles triangle. The the longest side is across from the right angles as usual, and the other two sides are of equal distance
You know base and angles how do I find height of isosceles triangle?
Use the sine rule to work out one of the sides. (a/sina = b/sinb = c/sinc) Then as it is an isosceles triangle the perpendicular dropped from the apex will (a) bisect the base and (b) form a right angle with the base. Now you know one side and the hypotenuse of a right-angled triangle and you use Pythagoras (a2 + b2 = c2) to solve the 'other' side of that, which is the height of the isosceles triangle.
