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How do you solve for the vertex angle of an isosceles triangle?
Wiki User
∙ 11y ago
The answer will depend on what information you do have: one of the base angles, the base and one of the legs, the base and one of the base angles. There are also other possible combinations involving medians, etc.
Wiki User
∙ 11y ago
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How do you construct an isosceles triangle when base and angle at the vertex is given?
First find 180 minus the vertex angle and divide that by 2 to get the other angles. Then solve the other sides by using sin(vertex angle)/base=sin(other angles)/other sides.
How to solve for the base of isosceles triangle when only two sides are given?
You will also need the angles so that you can use the Isosceles Triangle Theorems to solve for the base of isosceles triangle when only two sides are given.
How do you solve an isosceles triangle?
It depends on the infoamtion that you have.
How do you solve 45 45 90 triangle?
If its angles are 45, 45 and 90 degrees then it is an isosceles right angle triangle and its properties can be worked out using Pythagoras' theorem and trigonometry
How do you solve a 45 45 90 triangle?
If its angles are 45, 45 and 90 degrees then it is an isosceles right angle triangle and its properties can be worked out using Pythagoras' theorem and trigonometry
How do you construct an isosceles triangle when base and angle at the vertex is given?
First find 180 minus the vertex angle and divide that by 2 to get the other angles. Then solve the other sides by using sin(vertex angle)/base=sin(other angles)/other sides.
How to solve for the base of isosceles triangle when only two sides are given?
You will also need the angles so that you can use the Isosceles Triangle Theorems to solve for the base of isosceles triangle when only two sides are given.
How do you solve an isosceles triangle?
It depends on the infoamtion that you have.
How do you solve 45 45 90 triangle?
If its angles are 45, 45 and 90 degrees then it is an isosceles right angle triangle and its properties can be worked out using Pythagoras' theorem and trigonometry
How do you solve a 45 45 90 triangle?
If its angles are 45, 45 and 90 degrees then it is an isosceles right angle triangle and its properties can be worked out using Pythagoras' theorem and trigonometry
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
An isosceles triangle has a measure of 70o what is the measure of each base angle?
To figure out what the measure of the base angles in an isosceles triangle are, it is important to first understand several things about an isosceles triangle. 1. A triangle has 180 degrees. 2. An isosceles has two equal sides, which means that it also has two equivalent angles. 3. In knowing at least any one angle of an isosceles triangle, it is possible to figure out the other two. Since the base angles are unknown in this question, and they are equivalent to one another, it is a simple algebraic problem. 180 - 70 = 2A 180 is the number of degrees in a triangle 70 is the number of degrees taken up by angle C, with angles A and B being the equivalent base angles. 2a is the double of one base angle. Let's solve. 180 - 70 = 2A 110 = 2A 110/2 = A 55 = A The measure of each base angle is 55.
You know base and angles how do I find height of isosceles triangle?
Use the sine rule to work out one of the sides. (a/sina = b/sinb = c/sinc) Then as it is an isosceles triangle the perpendicular dropped from the apex will (a) bisect the base and (b) form a right angle with the base. Now you know one side and the hypotenuse of a right-angled triangle and you use Pythagoras (a2 + b2 = c2) to solve the 'other' side of that, which is the height of the isosceles triangle.
How do you solve the hypotenuse of triangle APC if angle P is a right angle?
By using trigonometry or using Pythagoras' theorem for a right angle triangle.
Find length of the base if perimeter of an isosceles triangle is 70 in?
That's not enough information to solve the problem.
An equilateral triangle is inscribed in a parabola with its vertex at the vertex of the parabola how do you find the length of the equilateral triangle?
First you need more details about the parabola. Then - if the parabola opens upward - you can assume that the lowest point of the triangle is at the vertex; write an equation for each of the lines in the equilateral triangle. These lines will slope upwards (or downwards) at an angle of 60°; you must convert that to a slope (using the tangent function). Once you have the equation of the lines and the parabola, solve them simultaneously to check at what points they cross. Finally you can use the Pythagorean Theorem to calculate the length.
How could you solve for a leg of an equilateral triangle if you are given an angle?
You cannot solve for a leg in any triangle without at least one other side.
