Q: What is the relationship between two shorter sides on a triangle and one longer side?

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The length of the longer leg equals the length of the shorter leg times the square root of three.

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.

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.

That will depend upon the statements of which none have been given about a right angle 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

Related questions

An isosceles triangle. It is an isosceles triangle even if the third side is shorter.

For a triangle to exist, the sum of the shorter two sides must be longer than the third side.

.The hypotenuse is twice as long as the shorter leg The longer leg is twice as long as the shorter leg.

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.

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+Î¦) times the shorter, where Î¦ is the golden ratio. So with the shorter side being 7 inches, the longer were 18.3 inches, approx.

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 shorter leg is 6 feet long

The shorter leg is 9 feet long

The length of the longer leg equals the length of the shorter leg times the square root of three.

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.

The hypotenuse is twice as long as the shorter leg AND The longer leg is 3 times as long as the shorter leg.

the longer leg is root 3 times as long as the shorter leg, and the hypotenuse is twice as long as the shorter leg.