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Is a scalene triangle is obtuse.?
It is impossible to have an obtuse AND scalene triangle, because in order for it to be obtuse, it must have one obtuse angle but, in order for a triangle to be scalene it must have two equivalent sides. So, in the end if you have an obtuse and scalene triangle, it is not 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.
What does the side-angle inequality theorem state?
In a triangle, if one side is longer than the other side, the angle opposite the longer side is the larger angle. It state that If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.. I hope it will help in your study..... AJ
If the length of the longest side of a right triangle is 3 more than the length of the shorter side the length of the hypotenuse is 3 more than the length of the longer side find length of each side?
9,3,6 The dimensions given above would not be suitable for a right angled triangle which presumably the question is asking about. The dimensions suitable for a right angled triangle in the question are: 9, 12, 15.
What can be the ratio of the length of the longer leg of a 30-60-90 triangle?
the ratios in such a triangle are 1:2:sqrt(3) so the longest length is opposite the 90 degree angle and is twice as large as the length opposite the 30 degree angle
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.
Is a scalene triangle is obtuse.?
It is impossible to have an obtuse AND scalene triangle, because in order for it to be obtuse, it must have one obtuse angle but, in order for a triangle to be scalene it must have two equivalent sides. So, in the end if you have an obtuse and scalene triangle, it is not 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 right triangle have three acute angles and three equal sides?
No, a right angled triangle cannot have three acute angles because an acute angle is less than 90 degrees and a right angled triangle has one angle of exactly 90 degrees (which is what right angled means, equal to 90 degrees).Also, because the triangle has a right angle (of 90 degrees) it cannot have three equal sides; it can have two equal sides but the side opposite to the right angle (the hypotenuse) will always be longer than either of the other two sides.
How do you find the hypotenuse of a rectangle?
You don't. A rectangle doesn't have a hypoteneuse, only a right-angled triangle has a hypoteneuse. As for the diagonal of a rectangle, you can draw it from any vertex to the opposite vertex. It's length is the square root of the sum of the squares of the longer and the shorter side-lengths.
The ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
Starting with an equilateral triangle of side 2, dropping a perpendicular from one vertex to the opposite base creates two equal right angled triangles with hypotenuse of length 2, base length 1 and height of length √(22 - 12) = √3 which is the longer leg of the 30-60-90 triangle. Thus the ratio of longer_leg : hypotenuse is √3 : 2
What does the side-angle inequality theorem state?
In a triangle, if one side is longer than the other side, the angle opposite the longer side is the larger angle. It state that If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.. I hope it will help in your study..... AJ
If the length of the longest side of a right triangle is 3 more than the length of the shorter side the length of the hypotenuse is 3 more than the length of the longer side find length of each side?
9,3,6 The dimensions given above would not be suitable for a right angled triangle which presumably the question is asking about. The dimensions suitable for a right angled triangle in the question are: 9, 12, 15.
Is a right angled triangle always an acute triangle?
All triangles have a total internal angle of 180 degrees. This means that all the internal angles summed will equate to 180 degrees. A right angled triangle contains one corner with 90 degrees, the right angle. This means that there is only (180-90), or 90 degrees left between the two remaining corners. An acute angle is one that is less than 90 degrees. The other two angles must always be less than 90 degrees, otherwise it would no longer be a triangle. This means that the other two angles of a right angled triangle will always be acute.
What is a side-angle inequality?
If one side of a triangle is longer than the second side, then the measure of the angle opposite the longer side is greater than the measure of the angle opposite the shorter side. I hope it will help in your study.. AJ
What can be the ratio of the length of the longer leg of a 30-60-90 triangle?
the ratios in such a triangle are 1:2:sqrt(3) so the longest length is opposite the 90 degree angle and is twice as large as the length opposite the 30 degree angle
What is longer than a right angle?
an obtuse angle
