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If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides then the triangle is an acute triangle?
Yes, that's correct. In a triangle, if the square of the length of the longest side is less than the sum of the squares of the lengths of the other two sides, it indicates that all angles in the triangle are less than 90 degrees. This condition defines an acute triangle, where each angle is acute. Conversely, if the longest side squared equals the sum of the squares of the other two sides, the triangle is right-angled, and if it's greater, the triangle is obtuse.
What is the length of the longest side in an isosceles right triangle?
The longest length would be the hypotenuse. You can use SOHCAHTOA to find the length.
What is a triangle with two acute angles which are equal and one right angle?
That's an isosceles right triangle. The two acute angles are both 45 degrees. The two shorter sides both have the same length, and the longest side is 41.421% longer than either of the short ones.
What is the tangent of a right triangle?
There is no such thing as the tangent of a triangle. Circles, angles, and conversations have tangents. In a right angled triangle, the tangent of one of the acute angles is the ratio of the length of the side opposite the angle to the length of the side adjacent to it.
What is sine in trigonometry?
The sine of one of the acute angles in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides then the triangle is an acute triangle?
Yes, that's correct. In a triangle, if the square of the length of the longest side is less than the sum of the squares of the lengths of the other two sides, it indicates that all angles in the triangle are less than 90 degrees. This condition defines an acute triangle, where each angle is acute. Conversely, if the longest side squared equals the sum of the squares of the other two sides, the triangle is right-angled, and if it's greater, the triangle is obtuse.
How do i find the Ratio of the shortest to the longest side of a triangle?
You divide the length of the shortest side by the length of the longest side.
what- The length of the shortest side of the scalene triangle is 5 inches.Find the length of the longest side?
9 in.
What is the length of the longest side in an isosceles right triangle?
The longest length would be the hypotenuse. You can use SOHCAHTOA to find the length.
The side of a triangle is always opposite the angle with the largest measure?
No, this statement is not correct. The side opposite the largest angle is the longest side of a triangle only if the triangle is obtuse. In acute triangles, the side opposite the largest angle is the longest side, and in right triangles, the side opposite the right angle (90 degrees) is the longest side.
Classify the triangle with sides 10 13 19 as acute right or obtuse?
In a right triangle, a2 + b2 = c2, where c is the longest side. If the square of the longest side is more than the sum of the other two squares, the triangle has an obtuse angle. If it is less, all angles are acute.
What is a triangle with two acute angles which are equal and one right angle?
That's an isosceles right triangle. The two acute angles are both 45 degrees. The two shorter sides both have the same length, and the longest side is 41.421% longer than either of the short ones.
Is the longest distance between two points in a triangle the length of the longest side?
Not necessarily. The longest distance between two points in a triangle is the distance between the vertices that are farthest apart. This can be between any two vertices, not just those connected by the longest side of the triangle.
In a right triangle the ratio of the length of the side opposite an acute angle to the length of the hypotenuse?
sin θ : 1 = the length of opposite side to angle θ : the length of the hypotenuse
Can a acute triangle also be scalene?
Scalene means the triangle has 3 sides unequal length. Acute means the triangle has 3 acute angles (less than 90o). So you should be able to draw a scalene acute triangle pretty easily. An equilateral triangle has all sides the same length and all angles are 60o. If you stretch one side a little, and shrink another side a little you will have a scalene triangle. And as long as you haven't stretched or shrunk the sides too far, it will also still be acute.
What is the tangent of a right triangle?
There is no such thing as the tangent of a triangle. Circles, angles, and conversations have tangents. In a right angled triangle, the tangent of one of the acute angles is the ratio of the length of the side opposite the angle to the length of the side adjacent to it.
What is the length of the hypotenuseif they are 3 4 5?
The hypotenuse is the longest side of a right triangle.
