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What could be the ratio of the length of of the longer leg of a 30 60 90 triangle to the length of its hypotenuse?
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Could 3 6 and 8 represent the length of the sides of a right triangle?
No. Due to Pythagoras' Theorem, the square of the hypotenuse (the longest side of the right triangle) has to be equal to the sum of the squares of the other two sides. If this is too wordy, call the sides a, b and c, where c is the hypotenuse. Then a2+b2=c2 for any right triangle. Hence, with 3, 6 and 8 we have 9+36=64 (or 36+9=64 depending on how you choose a and b) which is clearly wrong, so a triangle with sides of length 3, 6 and 8 is NOT a right triangle.
Can you find both sides of a triangle if only the hypotenuse is given?
No. The hypotenuse is the side of a right triangle that is not adjacent to the right angle. The Pythagorean theorem says that a2+b2=h2 where h is the length of the hypotenuse and a and b are the lengths of the other sides. Let's say the hypotnuse is 3, then a2+b2=9 a and b could be the 1 and the square root of 8 or the square root of 2 and the square root of 7 or the square root of 3 and the square root of 6. In fact, there are an infinite number of combinations of lengths that a and b could be.
How do you work out a length of a triangle?
The way you can work out the length of a triangle is if you are given the height and the area of that triangle ( this works of you don't want to measure it) or you could just measure it.
What is the length of all 3 sides of a triangle?
They could all be the same length, or two of them could be the same, or they could all be different. In any case, when you add them all up, the number you get is called the "perimeter" of the triangle.
In triangle ABC the length of side AB is 13 inches and the length of side BC is 18 inches. What could be the length of side AC?
Without a type of triangle and the associated angle measurements, an answer is impossible.
What could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
2 Square Root 3 And 4
What could the ratio of the length of the longer leg of a 30 60 90 triangle to the length of its hypotenuse?
1/2 sqrt(3) = 0.866 (rounded)
What could be a ratio of the length of the longer-leg of a 30-60-90 triangle to the length of its hypotenuse?
In such a triangle, the sides will always be in the ratio, 1, 2 (hypotenuse) and sqrt(3) So the ratio you want is sqrt(3)/2
Which of the following could be the ratio of the length of a 30-60-90 to the length of its hypotenuse?
There's no such thing as the "length of a 30-60-90". The ratios of the lengths of the legs of such a triangle to the length of the hypotenuse are 1/2 and 1/2(sqrt(3).
What could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length?
Assuming that 30-60-90 refers to the angles (in degrees), the ratio of the longer leg to the hypotenuse would be 1:cosine(30) = 1:sqrt(3)/2 or 2:sqrt(3)
Could 1 2 and the square root of 3 be the sides of a right triangle?
Or course. 1 & sq. rt. of 3 being the sides, 2 being the hypotenuse.
Could 3 6 and 8 represent the length of the sides of a right triangle?
No. Due to Pythagoras' Theorem, the square of the hypotenuse (the longest side of the right triangle) has to be equal to the sum of the squares of the other two sides. If this is too wordy, call the sides a, b and c, where c is the hypotenuse. Then a2+b2=c2 for any right triangle. Hence, with 3, 6 and 8 we have 9+36=64 (or 36+9=64 depending on how you choose a and b) which is clearly wrong, so a triangle with sides of length 3, 6 and 8 is NOT a right triangle.
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.
What could be the length of the third side of a triangle that has two sides of lengths 5 and 12?
Any value between 7 and 17------------------------------------To create a triangle, the sum of the two shorter sides must be greater than the third side.If the side of length 12 is the longer side then the missing side must be greater than 12 - 5 = 7If the missing side is the longer side then the missing side must be less than 5 + 12 = 17Thus any length that is greater than 7 and less than 17.-----------------------------------------------------------------------A Pythagorean triangle would have a hypotenuse of 13
What is the length of the third side of a triangle when the first side is 5 in long and the second side is 3 in long?
Not enough information. If it's a right triangle, and the missing side is a leg, it could be 4 in. If the missing side is the hypotenuse, it would be the square root of 34.
Can you find both sides of a triangle if only the hypotenuse is given?
No. The hypotenuse is the side of a right triangle that is not adjacent to the right angle. The Pythagorean theorem says that a2+b2=h2 where h is the length of the hypotenuse and a and b are the lengths of the other sides. Let's say the hypotnuse is 3, then a2+b2=9 a and b could be the 1 and the square root of 8 or the square root of 2 and the square root of 7 or the square root of 3 and the square root of 6. In fact, there are an infinite number of combinations of lengths that a and b could be.
A right triangle has a hypotenuse of 10 cm and one leg that measures What is the length of the other leg?
Without knowing the measurement of one of its legs it's impossible to work out using Pythagoras' theorem. So from an experienced guess the two legs could be 8 cm and 6 cm with an hypotenuse of 10 cm.
