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Why the hypothenuse of a right triangle must always be longer than either leg?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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What is true of all hypotenuse compared to the other side?
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.
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.
What is the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
23
Is the circumference always longer than the diameter of a circle?
Yes, always
Can 9 8 17 form a triangle?
NO!!! Reason. The sum of the two shorter sides MUSR be longer than the longest side.
Can a right angle triangle ever be equilateral?
No it can't. The hypotenuse of a right triangle will always be longer than either one of the other two sides.
Why Sine and Cosine are always less then 1?
That is not correct: they are always LESS-THAN-OR-EQUAL to 1. They are also always greater-or-equal to minus 1.The fact that this is so follows directly from the definition. Two different definitions are commonly used:1) The sine is the y-coordinate of a unit circle (a circle of radius 1, with center at coordinates (0, 0)). The cosine is the x-coordinate of the same circle. The highest point on the circle has the y-coordinate 1 (at 90 degrees).2) In a right triangle, the sine is the side opposite to the angle considered, divided by the hypothenuse. The hypothenuse is of course longer than the other sides (except in the extreme case of 0 or 90 degree angles - this would not be properly called a triangle).
How do you know 3 line segments will form a triangle?
They always will unless any one of them is longer than the sum of the other two.
What is true of all hypotenuse compared to the other side?
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 height of a triangle is three feet longer than the base The area of the triangle is 35 square feet Find the height andbase of the triangle?
the height of a triangle is three feet longer than the base. The area of the triangle is 35 square feet. Find the height andbase of the triangle
How much how much degrees are in an acute triangle?
less than 90 degreesAnswer:The sum of the angles in any triangle are always 180o. By definition an acute triangle is one in which all three angles are acute angles (less than 90o). As soon as one angle becomes 90o (right angled triangle) or greater (obtuse angled) the triangle is no longer acute.
Can 9 9 and 1 form a triangle?
If you are talking about 9cm, 9cm and 1cm then yes it can form a triangle because this would be an isosceles triangle. The two longer sides add up to longer than the short side so it can be a triangle.
What is leg in geometry?
The longer sides of a triangle
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 the Russian name for Green?
a triangle has 3 angles, if more then 3 are added then it is no longer a triangle.
Why is the hypotenuse?
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.
Can a leg of a right triangle be longer than the hypotenuse?
No.
