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What descibes the relationship between the length of the legs and the hypotenuse in a right triangle?
Wiki User
∙ 12y ago
They are described by the famous Pythagoras theorem, if "a" and "b" are the legs and "h" the hypotenuse, then
h x h = (a x a) + (b x b)
Also a = h x sinB (where B is the internal angle (of the triangle) between the hypotenuse and side b
and
b = h x sinA (where A is the internal angle (of the triangle) between the hypotenuse and side a
Wiki User
∙ 12y ago
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What is the relationship between the hypotenuse and a right angle?
The hypotenuse is the side opposite to the right angle in the triangle.
What is the relationship between the short leg and the hypotenuse 30-60-90 triangle?
The short leg is equal to one-half of the hypotenuse. ( sin 30 = opposite/hypotenuse = short leg/hypotenuse = 1/2)
When you use the Distance Formula you are building a triangle whose hypotenuse goes between two given points?
right triangle
What is the relationship between the legs and the hypotenuse?
The two legs squared and added together = the length of the hypotenuse's length squared
What is the relationship between the two legs in a 30-60-90 triangle?
The longer leg is square root of 3 bigger than the short leg. That is because sin 30 = 1/2 = short/hypotenuse; cos 30 = long/hypotenuse = (sqrt 3)/2
What is the relationship between the hypotenuse and a right angle?
The hypotenuse is the side opposite to the right angle in the triangle.
What is the relationship between the short leg and the hypotenuse 30-60-90 triangle?
The short leg is equal to one-half of the hypotenuse. ( sin 30 = opposite/hypotenuse = short leg/hypotenuse = 1/2)
What describes the relationship between the lengths of the legs and the hypotenuse in a right triangle?
The square of the two legs is equal to the square of the hypotenuse. a2+b2 = c2 where a and b are the legs and c being the hypotenuse
What is the relationship between the legs and the hypotenuse in a 45-45-90 degree triangle?
Both legs are equal in length
When you use the Distance Formula you are building a right triangle whose hypothenuse goes between two given points?
hypotenuse, hypotenuse
What is the relationship between the legs and the hypotenuse?
The two legs squared and added together = the length of the hypotenuse's length squared
If a right triangle has 60 degree angle and a length of 8 meters how do you find the hypotenuse?
As the relationship between the length and angle given are unclear a graphic explanation can be found at the link below
When you use the Distance Formula you are building a triangle whose hypotenuse goes between two given points?
right triangle
What is the relationship between the two legs in a 30-60-90 triangle?
The longer leg is square root of 3 bigger than the short leg. That is because sin 30 = 1/2 = short/hypotenuse; cos 30 = long/hypotenuse = (sqrt 3)/2
What is the relationship among a right triangle?
There is the Pythagorean relationship between the side lengths. Given a right triangle with sides a, b, & c : Sides a & b are adjacent to the right angle, and side c is opposite the right angle, and this side is called the hypotenuse. Side c is always the longest side, and can be found by c2 = a2 + b2 The 2 angles (which are not the right angle) will add up to 90° Given one of those angles (call it A), then sin(A) = (opposite)/(hypotenuse) {which is the length of the side opposite of angle A, divided by the length of the hypotenuse} cos(A) = (adjacent)/(hypotenuse), and tan(A) = (opposite)/(adjacent).
What Is the value of cos?
Cos is the ratio between adjacent side (of the given angle thieta) to the hypotenuse of the triangle.
What if the altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse?
Always true. To see this draw the circle which passes through the three points of the triangle. Reproduce the reflection of the triangle on the hypotenuse (which passes through the centre). Then use the theorem of intersecting chords of a circle to give the result immediately. It's also simply proved by algebra.
