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What is the relationship between two shorter sides on a triangle and one longer side?
If given that:
- a, b, and c are sides for any triangle,
- A, B, and C are the angles opposite of their sides,
- assuming c is the longest side, then
c2 = a2 + b2 -2ab*cos(C) (Law of Cosines)
c/sin(C) = a/sin(A) = b/sin(B) (Law of Sines)
In a right triangle,
a2 + b2 = c2(Pythagorean Theorem)
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What is the ratio between the lengths of the two legs of ab30-60-90 triangle?
The length of the longer leg equals the length of the shorter leg times the square root of three.
Does 3.1 4.3 and10.9 make a triangle?
No.To make a triangle the sum of the two shorter sides mustbe longer than the third. With 3.1, 4.3, 10.9 the two shorter sides are 3.1 and 4.3 which have a length sum of 3.1 + 4.3 = 7.4 which is not longer than 10.9, so 3.1, 4.3 and 10.9 cannot form a triangle.
Could the segments 6 5 and 12 form a triangle?
No. To form a triangle the sum of the shorter two sides MUST be greater than the longer side. 6 + 5 = 11 < 12 → cannot be a triangle.
What statements are true about a 30-60-90 degree triangle?
That will depend upon the statements of which none have been given about a right angle triangle.
A triangle has sides of lengths 6 2 and 7 is it a right triangle?
No. For a right angle triangle, the sum of the squares of the shorter sides equals the square of the longer side (the hypotenuse): 22 + 62 = 40 72 = 49
What triangle has two equal sides and one longer one?
An isosceles triangle. It is an isosceles triangle even if the third side is shorter.
What is true about the lengths of the three sides of a triangle?
For a triangle to exist, the sum of the shorter two sides must be longer than the third side.
Are true statements about a 30-60-90 triangle?
.The hypotenuse is twice as long as the shorter leg The longer leg is twice as long as the shorter leg.
How do you find the hypotenuse and longer leg of a 30 60 90 triangle?
If you have the shorter legs length, then for the hypotenuse, just multiply the shorter leg by 2. For the longer leg, multiply the shorter leg by the square root of 3.
How long is the longer side of a golden triangle when the shorter side is 7 inches?
A golden triangle is an isosceles triangle such that bisecting one of the equal angles produces a new triangle that is similar to the original. It can be shown that the original triangle must be 72-72-36 degrees. Using trigonometry, or the similarity, it can be shown that the long sides were (1+Φ) times the shorter, where Φ is the golden ratio. So with the shorter side being 7 inches, the longer were 18.3 inches, approx.
He length of the longer leg of a right triangle is 3ft more than three times the length of the shorter leg. The length of the hypotenuse is 4ft more than three times the length of the shorter leg. Fin?
The length of the longer leg of a right triangle is 3ftmore than three times the length of the shorter leg. The length of the hypotenuse is 4ftmore than three times the length of the shorter leg. Find the side lengths of the triangle.
The hypotenuse of a triangle is 10 feet long The longer of the two legs is two feet longer than the other Find the length of the shorter leg?
The shorter leg is 6 feet long
The hypotenuse of a triangle is 15 feet long The longer of the two legs is three feet longer than the other Find the length of the shorter leg?
The shorter leg is 9 feet long
What is the ratio between the lengths of the two legs of ab30-60-90 triangle?
The length of the longer leg equals the length of the shorter leg times the square root of three.
Does 3.1 4.3 and10.9 make a triangle?
No.To make a triangle the sum of the two shorter sides mustbe longer than the third. With 3.1, 4.3, 10.9 the two shorter sides are 3.1 and 4.3 which have a length sum of 3.1 + 4.3 = 7.4 which is not longer than 10.9, so 3.1, 4.3 and 10.9 cannot form a triangle.
Which of the following are true statements about a 30-60-90 triangle?
The hypotenuse is twice as long as the shorter leg AND The longer leg is 3 times as long as the shorter leg.
What are true statements about a 30-60-90 triangle?
the longer leg is root 3 times as long as the shorter leg, and the hypotenuse is twice as long as the shorter leg.
