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How do i find the base of an isosceles triangle from the vertical height and top angle in excel assuming the known angle is at the top the base height is at the bottom and you don't know the slant?
Wiki User
∙ 7y ago
Well, if you just bisect the angle at the top to get two equivalent triangles, then you solve for half of the original base from (half base)/(vertical side) = tan(angle).
The formula is for the base length is thus 2 × vertical_height × tan(top_angle ÷ 2)
Assuming the top angle in degrees is in cell B1
Assuming the vertical height is in cell B2
Assuming you want the base length in cell B3, then in cell B3 put the formula:
=2*B2*TAN(B1/2)
You will need to format the cell to give the required degree of accuracy (eg 1 dp).
Wiki User
∙ 7y ago
Wiki User
∙ 8y ago
You have an isosceles triangle. The two equal sides are the slanting ones.
You know the value of the Angle between them at the top, and you know
the vertical Height of the triangle.
Length of the base = (2 x Height) x tangent(1/2 of the top Angle) .
Length of the equal slanting sides = Height / cosine(1/2 of the top Angle) .
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Can perpendicular bisectors have a vertex as an endpoint?
When one draws an isosceles triangle and cast a line straight down from the top, It will result to a perpendicular bisector of the bottom leg. This will only work with an isosceles triangle.
How do you use 4 identical isosceles triangles to make an isosceles triangle?
Here is one way: /\ --- /\/\ ----- These are {45°, 45°, 90°} triangles. There are 3 on the bottom row, and 1 on top. Actually, any four identical isosceles triangles would work.
How do you find the degrees of a triangle's angle?
All triangles add up to 180 degrees it depends which triangle. An equilateral has all angles the same (60). An isosceles has the two bottom angles the same.
Area of an isosceles right angled triangle?
The area of a right angled triangle would be .5 * length *width where the length is the height of the triangle. To find the height of the triangle, take the sine of 45 degrees, which is the degree of the angles other than the 90 degrees, and multiply it by the length of one of the two equal sides. The width of the triangle is the length of the bottom side.
What shape has one line of symmetry?
An isosceles triangle, isosceles trapezium. More generally, any polygon where the side to the left of the bottom is the same as the side to the right of the bottom, and the next pair of sides are the same as one another (but different from the first pair), and so on. So that is an infinite number added to the "only one". A truncated parabola. An ellipse. and there are loads more.
You have 3 sides of an isosceles triangle how do you work out the top angle?
In an isosceles triangle, the two angles at the bottom are equal. Subtract the sum of the two bottom angles from 180 to find how many degrees are in the top angle.
Can there be an isosceles triangle?
yes , the bottom line is shorter than the two top lines.
Can perpendicular bisectors have a vertex as an endpoint?
When one draws an isosceles triangle and cast a line straight down from the top, It will result to a perpendicular bisector of the bottom leg. This will only work with an isosceles triangle.
Why does the right angle in an isosceles right triangle need to be placed in the middle?
Looks better. No reason why you can't draw your triangle with the right angle bottom left or bottom right.
What does an isoscels triangle look like?
An isosceles triangle has at least two equal sides and two equal angles An isosceles triangle has two or more congruent sides called legs. In an isosceles triangle with just two congruent sides, the angle formed by the legs is called the apex, and the other two angles, called base angles, are congruent. If the isosceles triangle has three congruent sides (AKA an equilateral triangle), then all three sides and angles are congruent, and there are no definitive base or vertex angles, besides...all of them. See related link below for the web address
What type of angles do isosceles triangles have?
Isosceles triangles have two equal sides. The angles opposite the equal sides are also equal. For instance, if the top angle is 48o and the two bottom angles are 66o an acute isosceles triangle is formed.
Is an isosceles triangle similar to a right triangle?
It can be similar to each other with the base angles theorem. It would be 90 degrees and on the bottom would be both 45 degrees and if you would turn it sideways, there is your right triangle.
How do you use 4 identical isosceles triangles to make an isosceles triangle?
Here is one way: /\ --- /\/\ ----- These are {45°, 45°, 90°} triangles. There are 3 on the bottom row, and 1 on top. Actually, any four identical isosceles triangles would work.
How do you find the degrees of a triangle's angle?
All triangles add up to 180 degrees it depends which triangle. An equilateral has all angles the same (60). An isosceles has the two bottom angles the same.
What is the answer to A ladder 15 feet long leans against a wall and forms an angle of 45 degrees with the ground how far from the wall is the ladder?
Assuming the wall is vertical, the wall, the ground and the ladder form an isosceles right-angled triangle. Pythagoras tells us that the square of the length of the ladder, in this case 225 equals the sum of the squares of the other two lengths, ie the height where the ladder touches the wall and the bottom of the ladder's distance from the wall. As these distances are equal in an isosceles triangle each must be the square root of (225/2) ie sqrt 112.5 which is 10.6066, as near as makes no difference to 10 ft 71/4 inches
What is at the bottom of a triangle?
Bottom of a triangle
What is an isosceles trapezoid?
It is a trapezoid in which the non-parallel sides are of the same length and subtend equal angles with the base. It can be viewed as an isosceles triangle whose apex has been removed by a line parallel to its base.
