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Can you find the hypotenuse of a right triangle when only one side length is known and all three angles?
Wiki User
∙ 12y ago
Yes. You will need to use trigonometry.
sin (angle) = opposite/hypotenuse
cos (angle) = adjacent/hypotenuse
tan (angle) = opposite/adjacent
Wiki User
∙ 12y ago
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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 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.
If a hypotenuse of a right triangle is 13 what is the length of the legs?
You need to provide more info. With only the length of the hypotenuse known the sides can be any two numbers that when squared ad up to less than 13^2
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 does the Pythagorean Theorem work?
The Pythagorean Theorem explains (or permits calculation of) the length of one side of a right triangle if the lengths of the other two sides are known. A right triangle is a triangle in which one of the three angles is a right angle (i.e. it has 90 degrees) For that kind of triangle, if A = the length of one of the sides making the right angle, B = the length of the other side making the right triangle, and C = the length of the side opposite to the right angle (also called the hypotenuse, then C2 = A2 + B2
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 formula for finding the length of the hypotenuse of a right triangle?
The forumal for finding the finding the length of the hypotenuse of a right triangle is square root of a squared plus b squared equals c. The letters a and b are the two sides that the length is known and the c is the unknown side.
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 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.
How do you find the third side of a triangle when two sides are known?
Use Pythagoras' theorem or trigonometry depending on what type of triangle it is. ` Only if it is a right triangle you will be able to use Pythagoras' theorem. This formula states that a^2 + b^2 = c^2 Where a and b are your two of the sides and c is the hypotenuse of the triangle. f you know the hypotenuse but not one of the other sides you can manipulate this formula.
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
If a hypotenuse of a right triangle is 13 what is the length of the legs?
You need to provide more info. With only the length of the hypotenuse known the sides can be any two numbers that when squared ad up to less than 13^2
Can you find the lengths of the 2 sides of a triangle if you know the length of the hypotenuse but none of the angles?
No. With only the length of the hypotenuse (which is the side opposite the right angle in a right triangle), and no other information, you cannot find the length of the other sides. Want to see it? Draw an x-y axis, and then draw a segment from the origin out and up to the right (in the first quadrant) a short distance. Nothing fancy. Now drop a perpendicular from the end of the segment you just drew down to the x axis. There's your right triangle with your "known" hypotenuse. Now just move the hypotenuse "up" or "down" a bit and draw your "new" perpendicular to the x axis. Same hypotenuse, different triangle. And you can draw an infinite number of these. Yes, there will be a relationship between the 2 sides you're looking for. The sum of their squares will equal the square of the hypotenuse, but other than that, you can't say more.
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
What is the outcome of two vectors that are at right angles to each other known as?
The outcome is called the resultant no matter what angle At right angles the resultant is calculated a the hypotenuse of the triangle with each vector as sides
How does the Pythagorean Theorem work?
The Pythagorean Theorem explains (or permits calculation of) the length of one side of a right triangle if the lengths of the other two sides are known. A right triangle is a triangle in which one of the three angles is a right angle (i.e. it has 90 degrees) For that kind of triangle, if A = the length of one of the sides making the right angle, B = the length of the other side making the right triangle, and C = the length of the side opposite to the right angle (also called the hypotenuse, then C2 = A2 + B2
How do you find the other angles of a right triangle?
Using the mathematical principles of trigonometry, you will need to know the lengths of any two of the sides of the right-angled triangle in order to calculate the other angles. The ratios of the lengths can be looked up in tables (or a scientific calculator may be used) to find the angle. The three sides of a right angled triangle have names as follows:- Hypotenuse - the longest side of the triangle, opposite the right angle Adjacent - the side next to the angle you wish to know Opposite - the side opposite the angle you wish to know The ratios are named as follows:- Sine - ratio of length of Opposite divided by length of Hypotenuse Cosine - ratio of length of Adjacent dived by length of Hypotenuse Tangent - ratio of length of Opposite divided by length of Adjacent These can be remembered by the mnemonic SOH CAH TOA Depending on which sides have the known lengths, calculate the ratio and look up the value for the angle in the Sine, Cosine or Tangent table as applicable. Once the value for one angle is known, the value for the other angle is 90 minus the value of the known angle.
