0
If you're given two side lengths but you need to find the hypotenuse, use this formula:
a2+ b2 = c2
For example...
( length a=5 ; length b= 10)
a2 + b2 = c2
52 + 102 = c2
25 + 100 = c2
125 = c2
since c is squared, you find the square root of c(125)
the square root of 125 is 11.1803399... round it to 11.2, and that's the hypotenuse
also, in order to check that you answer is appropriate, the hypotenuse is always bigger than the two other side lengths.
Add your answer:
Earn +20 pts
Is it better to use the Pythagorean Theorem when you are trying to find the hypotenuse of a right triangle given the other side lengths?
Yes.
How do you find the length of the legs of a right triangle or the coordinate when you are given the coordinates of the hypotenuse on a graph?
You cannot. If you draw a circle with the given hypotenuse as the diameter then the right angle of the triangle can be at ANY point on the circumfeence of the circle. Therefore, the lengths of the two legs are indeterminate.
Find the hypotenuse of a right triangle with legs of lengths 6 and 9?
45
One leg of a right trianlge has a lengthof 3m the other sides have lengths that are consecutive integers find these lengths find these lengths?
other side is 4, hypotenuse is 5
Where is pythagorean theorem used?
To find the side lengths and hypotenuse of a right angle triangle.
It is better to use the Pythagorean Theorem when you are trying to find the hypotenuse of a right triangle given the other side lengths?
yes. you can use trigonometry but phytagoreans theorem is faster and easier
How do you find both legs of a triangle with only the hypotenuse?
You can't. The hypotenuse alone isn't enough to tell you anything about the lengths of the legs. There are an infinite number of different right triangles that all have the same hypotenuse but different 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.
How do you find the hypotenuse of a right triangle when only a side length and angle is given?
Dependent on what side you are given you would use Sin(Θ) = Opposite/Hypotenuse just rearrange the formula to Hypotenuse = Opposite/Sin(Θ). Or if you are given the adjacent side use Cosine(Θ)=Adjacent/Hypotenuse, then: Hypotenuse = Adjacent/Cosine(Θ)
How do you find the length represented the hypotenuse?
If it's a right angle triangle then use Pythagoras' theorem to find its various lengths.
How do you find the side lengths of a square using the hypotenuse?
use the pythagoren thereom: square the hypotenuse (ex: c^2=2^2=4) divide by 2 because you know the lengths will be equal (ex: 4/2=2= the square is 2x2)
Can you use the tangent ratio to find the length of the hypotenuse?
No; the tangent ratio only deals with the lengths of the opposite side and adjacent side. You can square the two sides and add them together, then find the square root of the sum to find the length of the hypotenuse.
