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What are 15 facts about an equilateral triangle?
1. It has 3 sides. 2. It has 3 angles. 3. One is side a. 4. The angle opposite side a is Angle A. 5. The sceond side is side b. 6. The angle opposite side b is angle B. 7. The third side is side c. 8. The angle opposite side c is angle C. 9. All sides have equal lenght. 10. All angles have equal measures. 11. Each angle is 60 degrees. 12. The bisector of angle A will bisect side a. 13. The bisector of angle B will bisect side b. 14. The bisector of angle C will bisect side c. 15. Each bisector is perpendicular to the opposite side. 16. Each bisector creates a 30, 60, 90 right triangle.
How do you find the sides of a 30 60 and 90 degree triangle?
you cannot determine the sides of a triangle by the angle measures alone because any triangle with different side lengths can have these angle measurements. However if you do know the length of any one of the sides, you can calculate the lengths of the other two sides.The shortest side is the one opposite the 30 degree angle.The hypotenuse (opposite the 90 degree angle) is always twice the length of the shortest side opposite the 30 degree angle.The side opposite the 60 degree angle is always the length of the side opposite the 30 degree angle times the square root of three (about 1.73205).
How do you determine which is the adjacent side of a right triangle?
There are three sides, hypotenuse, opposite and adjacent. But the adjacent and opposite are not fixed sides: it depends on which of the two acute angles you are examining.For either of the non-right angles, the adjacent side is the one which forms the angle, along with the hypotenuse. For the given angle θ, the length of the adjacent side compared to the hypotenuse (adjacent/hypotenuse) is the cosine (cos θ).
How do you know that one of the sides of a right triangle is the hypotenuse?
It is opposite the right angle and it is the longest side.
A Angle formed by opposite ray is?
An angle cannot be formed by only one ray. However, an angle formed by two opposite rays is called a straight angle.
How do you decide which side is opposite the given acute angle of a right triangle and which side is adjacent to the given angle?
In a right triangle, the side opposite the given acute angle is the one that does not touch the angle and is directly across from it. The adjacent side is the one that is next to the angle and forms part of the angle along with the hypotenuse. To identify these sides, visualize the triangle and label the right angle, the acute angle, and then observe which sides are opposite and adjacent to the acute angle.
How do you find the length of one side of a triangle if only one side and two angles are given?
The sides and angles of a triangle are generally described using a,b,c for the three sides and A for the angle opposite side a, B for the angle opposite side b and C for the angle opposite side c. Then use the Sine Rule provided that one of the given angles is opposite the given side. a/Sin A = b/Sin B = c/Sin C
What triangle cases may have one two or zero solutions?
In triangle cases, one solution occurs in the "SSA" (Side-Side-Angle) scenario when the given side opposite the angle is longer than the other given side. Two solutions arise in the same SSA case when the angle is acute and the opposite side is shorter than the other given side, allowing for two possible triangles. Zero solutions occur in SSA when the side opposite the angle is shorter than the height from the other given side, making it impossible to form a triangle.
What does the side-angle inequality theorem state?
In a triangle, if one side is longer than the other side, the angle opposite the longer side is the larger angle. It state that If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.. I hope it will help in your study..... AJ
What is a side opposite to greater angle in triangle called?
In a triangle, the side opposite the greater angle is referred to as the longest side. This relationship is established by the triangle inequality theorem, which states that in any triangle, the larger the angle, the longer the side opposite that angle. Therefore, if one angle is greater than another, the side opposite the greater angle will also be longer than the side opposite the smaller angle.
What is a side oppossite?
A side opposite refers to a side of a geometric shape that is directly across from another side. In the context of triangles, for example, the side opposite a given angle is the one that does not touch that angle. This concept is important in trigonometry, where relationships between angles and their opposite sides are used to solve problems involving triangles.
How do you find perimeter of triangle whose two sides are given?
You'll have to work out the length of the third side using:a) the sine rule (if information given has one side opposite a given angle and the unknown side also opposite a given angle)SIN RULE: sinA/a = sinB/b = sinC/cb) the cos rule (not opposite).COSINE RULE: a2 = b2 +c2 -2bc x CosA
If one angle of a triangle is larger than another angle then the side opposite the larger angle is?
the smaller side
What is the relationship among a right triangle?
There is the Pythagorean relationship between the side lengths. Given a right triangle with sides a, b, & c : Sides a & b are adjacent to the right angle, and side c is opposite the right angle, and this side is called the hypotenuse. Side c is always the longest side, and can be found by c2 = a2 + b2 The 2 angles (which are not the right angle) will add up to 90° Given one of those angles (call it A), then sin(A) = (opposite)/(hypotenuse) {which is the length of the side opposite of angle A, divided by the length of the hypotenuse} cos(A) = (adjacent)/(hypotenuse), and tan(A) = (opposite)/(adjacent).
What is a side-angle inequality?
If one side of a triangle is longer than the second side, then the measure of the angle opposite the longer side is greater than the measure of the angle opposite the shorter side. I hope it will help in your study.. AJ
How do you find the third side of a triangle when the length of one side and one angle is known?
As stated knowing only 1 length and 1 angle, without further information with great difficulty; one angle and one side do not define a unique triangle. By saying "third side" I presume you know two of the sides, not just one as stated in the question, in which case you can use the cosine rule as long as the unknown side is opposite the angle: BC2 = AC2 + AB2 - 2 x AC x AB x cos A Other ways of finding sides from angles: If the triangle is a Right Angle triangle, you can use one of the trig functions Sin, Cos, Tan. If a second angle is given, all three angles can be known and the unknown sides can be calculated by the sine rule: sin A / BC = sin B / AC = sin C / AB If two sides are given and the given angle is opposite one of them, two applications of the sine Rule (first to find the angle opposite the second given side) will allow all angles and hence the third side to be found (by the second application).
How do you fine the missing side of a right angle only given one side?
You need either two sides given, to find a third side. Or > you need one side and an angle, to find another side.
