Problem 43601. Find the sines of an isosceles triangle when given its area and height

Solution 1720636

Submitted on 4 Feb 2019 by Mu

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Test	Status	Code Input and Output
1	Pass	A = 60; h = 5; y_correct = [0.3752 0.3752 0.6927]; tolerance = 1e-4; y = theSineOfAnglesOfATriangle(A,h); assert(abs(y(1)-y_correct(1))<tolerance) assert(abs(y(2)-y_correct(2))<tolerance) assert(abs(y(3)-y_correct(3))<tolerance)
2	Pass	A = 12; h = 4; y_correct = [0.7174 0.7174 0.8608]; tolerance = 1e-4; y = theSineOfAnglesOfATriangle(A,h); assert(abs(y(1)-y_correct(1))<tolerance) assert(abs(y(2)-y_correct(2))<tolerance) assert(abs(y(3)-y_correct(3))<tolerance)
3	Pass	A = 120; h = 8; y_correct = [0.4534 0.4534 0.8001]; tolerance = 1e-4; y = theSineOfAnglesOfATriangle(A,h); assert(abs(y(1)-y_correct(1))<tolerance) assert(abs(y(2)-y_correct(2))<tolerance) assert(abs(y(3)-y_correct(3))<tolerance)
4	Pass	A = 11; h = 7; y_correct = [0.8281 0.8281 0.3628]; tolerance = 1e-4; y = theSineOfAnglesOfATriangle(A,h); assert(abs(y(1)-y_correct(1))<tolerance) assert(abs(y(2)-y_correct(2))<tolerance) assert(abs(y(3)-y_correct(3))<tolerance)
5	Pass	A = 10; h = pi; y_correct = [0.6461 0.6461 0.9197]; tolerance = 1e-4; y = theSineOfAnglesOfATriangle(A,h); assert(abs(y(1)-y_correct(1))<tolerance) assert(abs(y(2)-y_correct(2))<tolerance) assert(abs(y(3)-y_correct(3))<tolerance)
6	Pass	A = 100; h = 90; y_correct = [0.8414 0.8414 0.0208]; tolerance = 1e-4; y = theSineOfAnglesOfATriangle(A,h); assert(abs(y(1)-y_correct(1))<tolerance) assert(abs(y(2)-y_correct(2))<tolerance) assert(abs(y(3)-y_correct(3))<tolerance)