Height of the arc - formula

Calculate the height of the arc if the length of the arc is 77 and chord length 40.
Does exist a formula to solve this?

Result

h =  26.55

Solution:

α0= 1.5707963267949 = 90°; r = 49.019722472304; h = 14.358
α1= 2.7223611075682 = 155°58'47″; r = 28.284271247462; h = 22.399
α498= 3.7005941597357 = 212°1'42″; r = 20.807469470119; h = 26.548
α499= 3.7005941597357 = 212°1'42″; r = 20.807469470119; h = 26.548

Solution in text h =







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Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.

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