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In a scalene triangle the longest side is opposite the angle with the smallest measure?
Incorrect. The relationships between the angles inside a triangle will be identical to the relationships between the lengths of the sides opposite those angles. For example, take any scalene triangle with the corners A, B, and C. If ∠A is the widest angle, ∠B is the mid-range, and ∠C is the smallest, then B→C will be the longest side, A→C will be the mid-range side, and A→B will be the shortest side.
How do you know if a triangle is a right triangle using the pythagorean therom?
We know that a right triangle is a triangle having a right angle, where the side opposite the right angle is the hypotenuse, and the perpendicular sides are the legs of the right triangle. The Pythagorean theorem gives the relationship between the lengths of the sides of a right triangles. In the case where you know only the measure lengths of the sides of a triangle, you need to test these measures. If one of the sides of the triangle has a square measure equal to the sum of the square measures of two other sides, then this side is called the hypotenuse and opposite to this side is a 90 degree angle, which is a right angle. So, you can say that this triangle is a right triangle. Pythagorean triple are very helpful to determine a right triangle, such as: (3, 4, 5), (5,12,13), (8, 15, 17), (7, 24, 25), and (20, 21, 29).
What is the relationship between interior and exterior angles in triangles?
An interior angle of a triangle is the angle between two edges, measured inside the triangle. An exterior angle is formed by extending one of the edges outside the triangle, and measuring between that extension and the adjacent original side of the triangle. The sum of the interior angle and exterior angle at any given corner is always 1800 (which is Pi radians).
What is the relationship between hyperbole and sarcasm?
Hyperbole uses exaggeration to suggest the opposite of what a writer is literally saying. question…
What is the difference between the pythagorean theorem and the converse of the pythagorean theorem?
The Pythagorean Theorem states that in a right triangle with legs a and b and hypotenuse c, a2 + b2 = c2. The converse of the Pythagorean theorem states that, if in a triangle with sides a, b, c, a2 + b2 = c2 then the triangle is right and the angle opposite side c is a right angle.
What is the relationship between the sides opposite the base angles of an isosceles triangle?
They are of the same lengths
What is the relationship between the angles and sides of a chord triangle?
In a chord triangle, the angles opposite the equal sides are also equal.
What is the relationship between the hypotenuse and a right angle?
The hypotenuse is the side opposite to the right angle in the triangle.
What is the relationship between exterior and opposite interior angles?
In a triangle, each exterior angle is equal to the sum of the two opposite interior angles.
What is the relationship between triangle chords and the angles they subtend within the triangle?
In a triangle, the chords connecting the vertices to the opposite sides are related to the angles they create. The angle subtended by a chord at the center of the triangle is twice the angle subtended by the same chord at the circumference of the triangle.
What is the relationship between the area of a triangle and a rectangle?
The relationship between the area of a triangle and a rectangle is a Triangle is base times height divided by 2. Area of a rectangle is length times height.
In a scalene triangle the longest side is opposite the angle with the smallest measure?
Incorrect. The relationships between the angles inside a triangle will be identical to the relationships between the lengths of the sides opposite those angles. For example, take any scalene triangle with the corners A, B, and C. If ∠A is the widest angle, ∠B is the mid-range, and ∠C is the smallest, then B→C will be the longest side, A→C will be the mid-range side, and A→B will be the shortest side.
What is the relationship between the lengths of the sides and the measurements of the angles in a triangle?
Relationship between the lengths and the measures of angles are related to theorems like the opposite side of the largest angle is the largest side two equal angles oppositee sides are also equal
What is the relationship between the lengths of the sides and the measures of the angles in a triangle?
Relationship between the lengths and the measures of angles are related to theorems like the opposite side of the largest angle is the largest side two equal angles oppositee sides are also equal
Find the lengths of the side of the right triangle if the longest side of the triangle is four more than the shortest side and the middle side is two more than the shortest side?
There is no such right triangle. You have defined the relationship between three sides of a triangle that does not have a 90 degree angle. In a right triangle the sum of the squares of the shorter sides equals the square of the longest side and 12 + 22 = 5 ; 42 = 16 it does not equal 5 The angles in a triangle with sides 1, 2, 4 units can be found by applying the cosine rule.
What is the difference between a median and the altitude of a triangle?
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Altitude of a triangle is a straight line through a vertex and perpendicular to the opposite side or an extension of the opposite side.
What is the relationship between the slope and the pythagorean theorem?
There is no relationship between slope and the theorem, however the theorem does deal with the relationship between angles and sides of a triangle.
