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In the triangle below what is the length of the side opposite the 30 angle?
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∙ 14y ago
Sqaure root of 3
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∙ 14y ago
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What is the length of in the right triangle below with legs of 18 and 80?
Using Pythagoras' theorem for a right angle triangle its hypotenuse is 82 units in length
What is the length of BC in the right triangle below with legs of 9 and 12?
Using Pythagoras' theorem the hypotenuse of the right angle triangle works out as 15.
What is the length of EF in the triangle below with legs of 39 and 15?
Since there is no triangle "below", all that can be said is that EF - if it is the third side of the triangle - is any length in the interval (24, 54).
Which expression gives the length of PQ in the triangle shown below?
A triangle has 3 line segments
The segments shown below could form a triangle?
No, it could not. A triangle cannot have a perimeter of length zero.
What is the length of in the right triangle below with legs of 18 and 80?
Using Pythagoras' theorem for a right angle triangle its hypotenuse is 82 units in length
If a right triangle has 60 degree angle and a length of 8 meters how do you find the hypotenuse?
As the relationship between the length and angle given are unclear a graphic explanation can be found at the link below
What is the length of BC in the right triangle below with legs of 9 and 12?
Using Pythagoras' theorem the hypotenuse of the right angle triangle works out as 15.
What ate the properties of a triangle?
SideSide of a triangle is a line segment that connects two vertices. Triangle has three sides, it is denoted by a, b, and c in the figure below.VertexVertex is the point of intersection of two sides of triangle. The three vertices of the triangle are denoted by A, B, and C in the figure below. Notice that the opposite of vertex A is side a, opposite to vertex B is side B, and opposite to vertex C is side c.Included Angle or Vertex AngleIncluded angle is the angle subtended by two sides at the vertex of the triangle. It is also called vertex angle. For convenience, each included angle has the same notation to that of the vertex, ie. angle A is the included angle at vertex A, and so on. The sum of the included angles of the triangle is always equal to 180°.Altitude, h Altitude is a line from vertex perpendicular to the opposite side. The altitudes of the triangle will intersect at a common point called orthocenter.If sides a, b, and c are known, solve one of the angles using Cosine Law then solve the altitude of the triangle by functions of a right triangle. If the area of the triangle At is known, the following formulas are useful in solving for the altitudes..BaseThe base of the triangle is relative to which altitude is being considered. Figure below shows the bases of the triangle and its corresponding altitude.If hA is taken as altitude then side a is the baseIf hB is taken as altitude then side b is the baseIf hC is taken as altitude then side c is the baseMedian, mMedian of the triangle is a line from vertex to the midpoint of the opposite side. A triangle has three medians, and these three will intersect at the centroid. The figure below shows the median through A denoted by mA.Given three sides of the triangle, the median can be solved by two steps.Solve for one included angle, say angle C, using Cosine Law. From the figure above, solve for C in triangle ABC.Using triangle ADC, determine the median through A by Cosine Law.The formulas below, though not recommended, can be used to solve for the length of the medians.Where mA, mB, and mC are medians through A, B, and C, respectively.Angle BisectorAngle bisector of a triangle is a line that divides one included angle into two equal angles. It is drawn from vertex to the opposite side of the triangle. Since there are three included angles of the triangle, there are also three angle bisectors, and these three will intersect at the incenter. The figure shown below is the bisector of angle A, its length from vertex A to side a is denoted as bA.The length of angle bisectors is given by the following formulas:where called the semi-perimeter and bA, bB, and bC are bisectors of angles A, B, and C, respectively. The given formulas are not worth memorizing for if you are given three sides, you can easily solve the length of angle bisectors by using the Cosine and Sine Laws.Perpendicular BisectorPerpendicular bisector of the triangle is a perpendicular line that crosses through midpoint of the side of the triangle. The three perpendicular bisectors are worth noting for it intersects at the center of the circumscribing circle of the triangle. The point of intersection is called the circumcenter. The figure below shows the perpendicular bisector through side b.Source: MATHalino
What is the length of EF in the triangle below with legs of 39 and 15?
Since there is no triangle "below", all that can be said is that EF - if it is the third side of the triangle - is any length in the interval (24, 54).
How can you solve for angle A when only side a and side b of a right triangle are given in trigonometric functions?
It depends on the relationship of the sides to the angle. Assuming that neither side a or side b are the hypotenuse (longest side of the right triangle) and that side A is opposite the angle A and side b is closest (adjacent) to angle A then side a over side b will give the tangent of the angle A. If either side a or side b is the hypotenuse then when multiplied together their relationship to the angle A will give either the Sine or the Cosine of the angle A. Tangent = Opposite side / Adjacent side. Sine = Opposite / Hypotenuse. Cosine = Adjacent / Hypotenuse. A full explanation with diagram is at the related link below:
Exterior angle of a triangle?
Exterior Angle Theorem Exterior angle of a triangle An exterior angle of a triangle is the angle formed by a side of the triangle and the extension of an adjacent side. In other words, it is the angle that is formed when you extend one of the sides of the triangle to create a new line, and then measure the angle between that new line and the adjacent side of the original triangle. Each triangle has three exterior angles, one at each vertex of the triangle. The measure of each exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it. This is known as the Exterior Angle Theorem. For example, in the triangle below, the exterior angle at vertex C is equal to the sum of the measures of angles A and B So, angle ACB (the exterior angle at vertex C) is equal to the sum of angles A and B. Recomended for you: 𝕨𝕨𝕨.𝕕𝕚𝕘𝕚𝕤𝕥𝕠𝕣𝕖𝟚𝟜.𝕔𝕠𝕞/𝕣𝕖𝕕𝕚𝕣/𝟛𝟚𝟝𝟞𝟝𝟠/ℂ𝕠𝕝𝕝𝕖𝕟ℂ𝕠𝕒𝕝/
Which expression gives the length of PQ in the triangle shown below?
A triangle has 3 line segments
Fill in the blanks In the 30-60-90 triangle below side s has a length of and side q has a length of?
4 and 4 square root 3 apex!!!!
Determine the measure of the missing angle in the triangle below the sum of the three angles in a triangle is 180 degree?
37 degree
What is the Formula for a acute triangle?
For acute triangle None of the angle of triangle should be more than 90 degrees. See the weblink below for formulas.
The segments shown below could form a triangle?
No, it could not. A triangle cannot have a perimeter of length zero.
