Suppose you are given the three sides of a triangle and the altitude from the apex to the base. The altitude divides the triangle into two right-angled triangles and the arcsine function can be used to determine the two base angles. Subtracting their sum from 180 gives the third angle.
Use trigonometry knowing that the angle will be 60 degrees
By using trigonometry or using Pythagoras' theorem for a right angle triangle.
By using trigonometry
By using trigonometry that is applicable to a right angle triangle.
In an isosceles triangle, the altitude from the vertex angle to the base bisects the base and is also the median, as it divides the triangle into two congruent right triangles. This altitude is perpendicular to the base, creating two equal segments. Consequently, in an isosceles triangle, the altitude, median, and angle bisector from the vertex angle to the base are all the same line segment.
Use trigonometry knowing that the angle will be 60 degrees
By using trigonometry or using Pythagoras' theorem for a right angle triangle.
A right triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.
By using trigonometry
each angle is 60 degrees. If you know trigonometry sin 60 = Altitude/length of side (from Pythagoras) A = 9.526 inch Or, from Pythagoras theorem 5.5 squared + Altitude squared = 11 squared Altitude = 9.526
By using trigonometry that is applicable to a right angle triangle.
No.No.No.No.
In an isosceles triangle, the altitude from the vertex angle to the base bisects the base and is also the median, as it divides the triangle into two congruent right triangles. This altitude is perpendicular to the base, creating two equal segments. Consequently, in an isosceles triangle, the altitude, median, and angle bisector from the vertex angle to the base are all the same line segment.
Use trigonometry
By using trigonometry that is applicable to a right angle triangle.
An isosceles or an equilateral triangle perhaps?
If you have a right triangle, the sine of an angle is the ratio of the opposite side to the hypotenuse.