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How do you find the second leg to a triangle when the hypotenuse and first leg are known?
I am assuming a right-angled triangle here, or the question has no answer.
From Pythagoras's formula, (a^2+b^2) = c^2,
where a and b are the lengths of the two shorter edges that form the right-angle, and c is the length of the hypotenuse.
Let a and c be known. Then b is the square root of (c^2-a^2).
What else can I help you with?
What is the hypotenuse angle theorem?
The hypotenuse angle theorem, also known as the HA theorem, states that 'if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'
What is the hypotenuse formula when you know the height and base?
If it is a right angled triangle then this is known as Pythagoras' theorem: height2+base2 = hypotenuse2 ⇒ hypotenuse = √(height2 + base2)
How do you find the hypotenuse of a non right triangle?
To find the hypotenuse of a non-right triangle, you can use the Law of Cosines. This theorem states that the square of the length of one side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of those sides and the cosine of the angle between them. By rearranging the formula and plugging in the known side lengths and angles, you can solve for the length of the hypotenuse.
How do you find the 3rd side of the triangle if two sides are already given?
using the pythagoren therum, a squared +b squared=c squared, if you are finding the hypotenuse square the other to sides and divide the answer to get the length of the hypotenuse otherwise square the hypotenuse and the known side and subtract the known side squared from the hypotenuse squared to find the lenght of the unknown side squared
Why is the sine of an angle less than 1?
In a right triangle, the sine of the angle is equal to the (leg opposite the angle) divided by the (hypotenuse). It's well known that the hypotenuse is always the longest side in the right triangle, so this division can never come out to be more than ' 1 '.
The law of cosine for angle are suited if are known?
In a right angle triangle if the lengths of the adjacent or the hypotenuse are known.
What's the equation to find the length of a hypotenuse of a triangle?
The basic equation for the hypotenuse of a right angled triangle is A squared plus B squared equals C squared. Where A and B are the two non hypotenuse sides and C is the hypotenuse. To find other lengths and angles of a triangle various functions in the branch of mathematics known as trigonometry is used.
What is the hypotenuse angle theorem?
The hypotenuse angle theorem, also known as the HA theorem, states that 'if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'
How do you find the angle opposite of the hypotenuse of a triangle with all three sides known?
The only triangle that has a hypotenuse is a right-triangle. The hypotenuse is the side opposite the right angle, so the angle is always 90 degrees. In this case, if you're just finding the angle then you don't need to know what the side lengths are.
What is the hypotenuse formula when you know the height and base?
If it is a right angled triangle then this is known as Pythagoras' theorem: height2+base2 = hypotenuse2 ⇒ hypotenuse = √(height2 + base2)
Approximate to the nearest thousandth of a centimeter the length of the hypotenuse of a right triangle with legs of 3 centimeters each?
If both legs of a right triangle are the same, then it forms what is known as a "45-45-90 triangle". In this type of triangle, the hypotenuse is always √2 times more than the legs. So in this problem, with legs 3cm and 3cm, the hypotenuse is 3√2cm, or 4.243cm
How do you find the hypotenuse of a non right triangle?
To find the hypotenuse of a non-right triangle, you can use the Law of Cosines. This theorem states that the square of the length of one side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of those sides and the cosine of the angle between them. By rearranging the formula and plugging in the known side lengths and angles, you can solve for the length of the hypotenuse.
Where is the longest side of a right angled triangle found?
The longest side of a right-angled triangle is known as the hypotenuse, and it is located opposite the right angle. According to the Pythagorean theorem, the length of the hypotenuse can be calculated using the lengths of the other two sides (the legs) of the triangle. The hypotenuse always has the greatest length compared to the other two sides.
What can you say about the sides of a triangle opposite the largest angle?
The side of a triangle opposite the largest angle is the side of greatest length. It is also known as the Hypotenuse.
What contribution did the Pythagoras do in math?
He is best known for publishing the theory of how to calculate the length of the hypotenuse on a right angled triangle, using the formula: a2+b2=c2 where c is the hypotenuse
What is known as In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Pythagorean Theorem
What is one thing mentioned that Pythagoras is known for?
His theorem for a right angle triangle that states the hypotenuse of a right angle triangle when squared is equal to the sum of its squared sides.
