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What is the size of angle Q when the triangle PQR has vertices of 5 9 and 14 -3 and 2 3 repectively showing work?
The given vertices works out as a right angle triangle when plotted on the Cartesian plane and using the distance formula its dimensions with respect to Q are:-
Hypotenuse: 15
Adjacent: 6 Times Square root of 5
Opposite: 3 times square root of 5
Using any of the 3 trigonometry ratios angle Q works out as in the following:-
sin-1(opp/hyp) = 26.6 degrees to 3 significant figures
tan-1(opp/adj) = 26.6 degrees rounded to 1 decimal place
cos-1(adj/hyp) = 26.6 degrees to the nearest tenth
What else can I help you with?
Does a triangle have a curved side?
No. A triangle is a closed shape made of three straight lines, joined at their endpoints forming three vertices and three angles (hence tri-angle).
What is a circumcenter of a triangle?
The point of concurrency (intersection) of 3 perpendicular bisectors (the lines that cut the sides of the triangle in half at a 90 degree angle...think of a plus sign--+) of a triangle. It's equidistant to the 3 vertices (points or ends) of the triangle.
What kind of the triangle according to sides of the angle?
If one angle is a right angle, it is a right triangle. If one angle is an obtuse angle, it is an obtuse triangle. If there are no right nor obtuse angle then it is an acute triangle.
Is the centroid of a triangle always the circumcenter of a triangle?
No way! An easy example is the centroid and circumcenter of a right-angle triangle. Circumcenter will be exactly on the middle of the hypotenuse which obviously cannot be the centroid. Centroid is the point where all three lines are connecting all the three vertices and the middle of the line opposite the respective vertex. Circumcenter is the center of the circle passing through all the vertices. As it is known, a right-angle triangle will always fall within a semicircle, meaning the circle center will always be on the middle of the hypotenuse.
A triangle with one right angle?
A triangle with 1 right angle is a right angle triangle.
A right triangle contains?
A right angle triangle contains a 90 degree angle and 2 acute angles.
How many vertices does a right angle triangle have?
Like all triangles it has 3 vertices.
What is the largest angle of a triangle with vertices at -2 0 and 0.5 1.5 and 3.5 -3.5?
The given vertices when plotted on the Cartesian plane will form a right angle triangle and so therefore its largest angle is 90 degrees.
What are the angle bisectiors of a triangle?
They are lines, through the vertices of a triangle, that bisect (divide into two halves) the angles of the triangle.
How many right angle have a triangle got?
Sum of all angles at vertices in a triangle is 180. Right angle means 90 Degree. A triangle can have only one Right angle.
What is a shape with three vertices and one right angle called?
A right angled triangle.
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 angle angle angle in gemotry?
AAA, or angle angle angle, is a postulate used to prove the similarities of two triangles. If there exists a correspondence between the vertices of two triangles such that the three angles of one triangle are congruent to the corresponding angles of the other triangle, then the triangles are similar. (AAA)
What kind of triangle has vertices Seven comma three and two comma three and two comma eight?
That would be a right angle triangle that is isosceles.
What is a corner of a triangle called?
The corner of a triangle is a vertex.A vertex is defined as an angle is the endpoint where two line segments or lines come together. Every triangle has three vertices.
What are the vertices of a shape?
A vertex is where two lines of the shape meet. For example, the three points on a triangle are called vertices.
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.
