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How do you calculate the base of the right triangle given the height and the opposite angle?
Wiki User
∙ 9y ago
By using the tangent ratio of: opposite/tangent angle = adjacent which is the base
Wiki User
∙ 9y ago
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What is A segment that connects a vertex of a triangle to the opposite side of the triangle at a right angle?
The hypotenuse of a right angle triangle is opposite to its right angle of 90 degrees.
How do you find the height of an equilateral triangle if you have the length of the hypotenuse?
An equilateral triangle hasn't a hypotenuse; hypotenuse means the side opposite the right angle in a right triangle. An equilateral triangle has no right angles; rather all three of its angles measure 60 degrees. Knowing the length of the hypotenuse of a right triangle does not give enough information to determine the triangle's height. But the length of a side (which is the same for every side) of an equilateral triangle is enough information from which to calculate the height of that triangle. The first way is simply to use the formula that has been developed for this purpose: height = (length X sqrt(3)) / 2. But you can also use the geometry of right triangles to solve for the height. That is because you can bisect the triangle with a vertical line from the top vertex to the center of the base. The length of that line, which splits the equilateral triangle into two right triangles, is the height of the equilateral triangle. We know a lot about each right triangle formed by bisecting the equilateral triangle: * - The hypotenuse length is the length of the equilateral triangle's side. * - The base length is half the length of the hypotenuse. * - The angle opposite the hypotenuse is 90 degrees. * - The angle opposite the vertical is 60 degrees (the measure of every angle of any equilateral triangle). * - The angle opposite the base is 30 degrees (half of the bisected 60-degree angle). * - (Note that the sum of the angles does equal 180 degrees, as it must.) Now to solve for the height of a right triangle. There are a few ways. For labeling, let's let h=height of the equilateral triangle and the vertical side of the right triangle; A=every angle of the equilateral triangle (each 60o); s=side length of any side of the equilateral triangle and thus the hypotenuse of the right triangle. Since the sine of an angle of a right triangle is equal to the ratio of the opposite side divided by the hypotenuse, we can write that sin(A) = h/s. Solving for h, we get h=sin(A)/s. With trig tables you can now easily find the height.
The side of a right triangle opposite the right angle?
The side opposite the right angle is called the hypotenuse.
What is the opposite side in a right triangle?
The opposite side of any angle in a triangle is the side that is not part of the angle. The side opposite the right angle is the longest side, called the hypotenuse.
What is the side opposite the right angle triangle in a right angled triangle?
The side opposite the right angle of a triangle is the hypotenuse which is the longest side
How do you calculate the height of the triangle when you have the base and an angle?
something
How do you calculate the height of right triangle given the base and adjacent angle?
Height will be h=base*tan(angle).
How do you calculate the base of a right triangle given the height and angle?
David Beckham
Hownto calculate the area of triangle with out using its angle?
A = 1/2(base)(height)
In a right triangle, the is opposite the right angle?
The side opposite the right angle of a right angle triangle is the hypotenuse
How is the distance between earth and the sun measuread?
The simplest method is parallax - measure the angle to the sun from opposite sides of the earth and construct a triangle. Using the diameter of the earth as a base line, calculate the altitude (height) of the triangle formed.
Is the side opposite the right angle in a right triangle?
The side opposite the right angle in a right angle triangle is its hypotenuse
What is A segment that connects a vertex of a triangle to the opposite side of the triangle at a right angle?
The hypotenuse of a right angle triangle is opposite to its right angle of 90 degrees.
Where is the height of a triangle?
A line from any vertex of the triangle to the opposite side making and angle of 90 degree is called hight of the triangle,it can be present anywhere no specific point.
What is the relationship between the shortest side of a triangle and the measure of the angle opposite it?
The shortest side of a triangle is opposite to the smallest interior angle.
How do you find the height of an equilateral triangle if you have the length of the hypotenuse?
An equilateral triangle hasn't a hypotenuse; hypotenuse means the side opposite the right angle in a right triangle. An equilateral triangle has no right angles; rather all three of its angles measure 60 degrees. Knowing the length of the hypotenuse of a right triangle does not give enough information to determine the triangle's height. But the length of a side (which is the same for every side) of an equilateral triangle is enough information from which to calculate the height of that triangle. The first way is simply to use the formula that has been developed for this purpose: height = (length X sqrt(3)) / 2. But you can also use the geometry of right triangles to solve for the height. That is because you can bisect the triangle with a vertical line from the top vertex to the center of the base. The length of that line, which splits the equilateral triangle into two right triangles, is the height of the equilateral triangle. We know a lot about each right triangle formed by bisecting the equilateral triangle: * - The hypotenuse length is the length of the equilateral triangle's side. * - The base length is half the length of the hypotenuse. * - The angle opposite the hypotenuse is 90 degrees. * - The angle opposite the vertical is 60 degrees (the measure of every angle of any equilateral triangle). * - The angle opposite the base is 30 degrees (half of the bisected 60-degree angle). * - (Note that the sum of the angles does equal 180 degrees, as it must.) Now to solve for the height of a right triangle. There are a few ways. For labeling, let's let h=height of the equilateral triangle and the vertical side of the right triangle; A=every angle of the equilateral triangle (each 60o); s=side length of any side of the equilateral triangle and thus the hypotenuse of the right triangle. Since the sine of an angle of a right triangle is equal to the ratio of the opposite side divided by the hypotenuse, we can write that sin(A) = h/s. Solving for h, we get h=sin(A)/s. With trig tables you can now easily find the height.
The side of a right triangle opposite the right angle?
The side opposite the right angle is called the hypotenuse.
