Q: Can a leg of a right triangle be longer than the hypotenuse?

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No it can't. The hypotenuse of a right triangle will always be longer than either one of the other two sides.

Yes, because the sides connected to the right angle cannot extend longer than the distance between their end points.

Each leg is 21.73 feet and the Hypotenuse is 30.73 feet. (0.73 feet is a whisker over 8¾ inches)

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 '.

This is impossible. A leg cannot be greater than the hypotenuse. (Unless the triangle is part imaginary)

Related questions

The hypotenuse of any right triangle is longer than either one of the other two sides of the same right triangle. But it's shorter than their sum.

The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

No it can't. The hypotenuse of a right triangle will always be longer than either one of the other two sides.

extra 6 dimensions of 10 dimensional spacetime

No because the hypotenuse of a right angle triangle will always be its longest side.

The hypotenuse is the side opposite the right angle

The sine and the cosine of an angle are both (the leg of a right triangle) divided by (the hypotenuse of the same triangle). The leg can't be longer than the hypotenuse, so this fraction can't be more than ' 1 '.

Depending on the interpretation of your question, there are two answers.Definition. If another leg was longer, it would be called the hypotenuse.If the hypotenuse were shorter than one of the legs forming the right angle, the hypotenuse would not be long enough to reach the other leg, and therefore not be a triangle at all.

The hypotenuse must be longer than the other other leg.

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.

No a right triangle cannot be equilateral, the hypotenuse will always be larger than the sides.

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