Cody

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

Solution 1028123

Submitted on 23 Oct 2016 by Andriy Kavetsky
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Test Suite

Test Status Code Input and Output
1   Pass
A = 60; h = 5; y_correct = [0.3752 0.3752 0.9623]; 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)

y = 24 y = 24 13 z = 0.3752 z = 0.3752 0.3752 z = 0.3752 0.3752 0.9623

2   Pass
A = 12; h = 4; y_correct = [0.7174 0.7174 0.9320]; 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)

y = 6 y = 6 5 z = 0.7174 z = 0.7174 0.7174 z = 0.7174 0.7174 0.9320

3   Pass
A = 120; h = 8; y_correct = [0.4534 0.4534 0.9813]; 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)

y = 30 y = 30 17 z = 0.4534 z = 0.4534 0.4534 z = 0.4534 0.4534 0.9813

4   Pass
A = 11; h = 7; y_correct = [0.828103613613504 0.828103613613504 0.424198555538884]; 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)

y = 3.1429 y = 3.1429 7.1742 z = 0.8281 z = 0.8281 0.8281 z = 0.8281 0.8281 0.4242

5   Pass
A = 10; h = pi; y_correct = [0.646090546283235 0.646090546283235 0.989166179104111]; 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)

y = 6.3662 y = 6.3662 4.4723 z = 0.6461 z = 0.6461 0.6461 z = 0.6461 0.6461 0.9892

6   Pass
A = 100; h = 90; y_correct = [0.841429811769772 0.841429811769772 0.0246869683113754]; 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)

y = 2.2222 y = 2.2222 90.0069 z = 0.8414 z = 0.8414 0.8414 z = 0.8414 0.8414 0.0247