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= 1.57079632679 = 90°; r = 49.0197224723; h = 14.358
α1= 2.72236110757 = 155°58'47″; r = 28.2842712475; h = 22.399
α498= 3.70059415974 = 212°1'42″; r = 20.8074694701; h = 26.548
α499= 3.70059415974 = 212°1'42″; r = 20.8074694701; h = 26.548  Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! To solve this verbal math problem are needed these knowledge from mathematics:

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