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We don't think about this very often, but it turns out that in any triangle, the order of the angles by length is the same as the order of the sides opposite them by length. What I mean is: -- the shortest side is opposite the smallest angle
-- the medium side is opposite the medium angle
-- the longest side is opposite the largest angle In a right triangle, the right angle has to be the largest angle(**). So the side opposite it ... called the hypotenuse ... has to be the longest side. ============================================================ (**) Here's why the right angle has to be the largest angle: In any triangle, the inside angles all add up to 180 degrees. In a right triangle, one of the angles is 90 degrees. That leaves only another 90 degrees to split up between the other two angles, so both of them must be less than 90 degrees.
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∙ 14y ago
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How do you know if your solving for the leg or the hypotenuse?
The hypotenuse will always be longer than the other sides.
How do you find the two sides of a right triangle given only the hypotenuse?
To find the two sides you must have more information than just the hypotenuse. You must have one of the other sides or one of the angles besides the 90o angle.
What are the sides other than the hypotenuse of a triangle called?
opposite and adjacent
What is true of all hypotenuse compared to the other side?
The hypotenuse of any right triangle is longer than either one of the other two sides of the same right triangle. But it's shorter than their sum.
Is the hypotenuse of a right triangle always greater than any one of the other two sides?
Yes
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.
How do you find the other sides when the hypotenuse of a right triangle is given?
If all you're given is the hypotenuse, then you can't figure out any more information. If you had the length of one more side you could use Pythagoras's Theorem a2+ b2= c2to find the other side, or if you were given an angle other than the right angle, you could use SOH CAH TOA to calculate the length of another side. With just the hypotenuse, nothing more can be found.
Does a polygon have to have more than 3 sides?
no...it has to have 3 or more sides. in other words, more than 2 sides
Right triangle has how many congruent sides?
A right triangle can have at most 2 congruent sides, but may have no congruent sides. From the Pythagorean Theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides - consequently the "other two sides must each be less than the length of the hypotenuse and thus not congruent with it. They can be congruent with each other however - which is what occurs in a 45°/45°/90° triangle (for any other right triangle, none of the sides will be congruent).
When to use Pythagoras?
In a right angle triangle,pythagoras theorem can be used if (1)the 2 sides are equal and their measure is less than the hypotenuse (or) (2)the 2 sides are different and their measure is less than the hypotenuse.
How do you find the height of a fight triangle when the hypotenuse is 9?
I guess you meant a right triangle with a hypotenuse of 9 units.Long answer:If the hypotenuse is used as the base of the triangle, the height will be any value greater than 0 units and less than or equal to 41/2 units.If one of the other two sides is used as the base, then the height will be any value greater than 0 units and less than 9 units such that height = √(81 - base2).Short answer:You can't without further information about one of the other two sides.Short answer expanded:Then you can use Pythagoras to find the third side.If one if the non-hypotenuse sides is the base, then the height is the other side.Otherwise with the hypotenuse as the base, the height is given by:height = product_of_the_other_two_sides ÷ hypotenuse
Can a right angle triangle ever be equilateral?
No it can't. The hypotenuse of a right triangle will always be longer than either one of the other two sides.
