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

Solution 3188196

Submitted on 13 Oct 2020
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### Test Suite

Test Status Code Input and Output
1   Fail
A = 12; h = 4; y_correct = [0.8, 0.8, 0.96]; 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)

Unrecognized function or variable 'a'. Error in theSineOfAnglesOfATriangle (line 2) y = [h/(sqrt((A/h)^2+h^2)) h/(sqrt((A/h)^2+h^2)) sin(2*asin((a/h)/(sqrt((a/h)^2+h^2))))]; Error in Test1 (line 4) y = theSineOfAnglesOfATriangle(A,h);

2   Fail
A = 48; h = 8; y_correct = [0.8, 0.8, 0.96]; 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)

Unrecognized function or variable 'a'. Error in theSineOfAnglesOfATriangle (line 2) y = [h/(sqrt((A/h)^2+h^2)) h/(sqrt((A/h)^2+h^2)) sin(2*asin((a/h)/(sqrt((a/h)^2+h^2))))]; Error in Test2 (line 4) y = theSineOfAnglesOfATriangle(A,h);

3   Fail
A = 40; h = 10; y_correct = [0.9285, 0.9285, 0.6897]; 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)

Unrecognized function or variable 'a'. Error in theSineOfAnglesOfATriangle (line 2) y = [h/(sqrt((A/h)^2+h^2)) h/(sqrt((A/h)^2+h^2)) sin(2*asin((a/h)/(sqrt((a/h)^2+h^2))))]; Error in Test3 (line 4) y = theSineOfAnglesOfATriangle(A,h);

4   Fail
A = 11; h = 7; y_correct = [0.9757, 0.9757, 0.4274]; 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)

Unrecognized function or variable 'a'. Error in theSineOfAnglesOfATriangle (line 2) y = [h/(sqrt((A/h)^2+h^2)) h/(sqrt((A/h)^2+h^2)) sin(2*asin((a/h)/(sqrt((a/h)^2+h^2))))]; Error in Test4 (line 4) y = theSineOfAnglesOfATriangle(A,h);

5   Fail
A = 10; h = 7; y_correct = [0.9798, 0.9798, 0.3918]; 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)

Unrecognized function or variable 'a'. Error in theSineOfAnglesOfATriangle (line 2) y = [h/(sqrt((A/h)^2+h^2)) h/(sqrt((A/h)^2+h^2)) sin(2*asin((a/h)/(sqrt((a/h)^2+h^2))))]; Error in Test5 (line 4) y = theSineOfAnglesOfATriangle(A,h);

6   Fail
A = 100; h = 90; y_correct = [0.9999, 0.9999, 0.0247]; 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)

Unrecognized function or variable 'a'. Error in theSineOfAnglesOfATriangle (line 2) y = [h/(sqrt((A/h)^2+h^2)) h/(sqrt((A/h)^2+h^2)) sin(2*asin((a/h)/(sqrt((a/h)^2+h^2))))]; Error in Test6 (line 4) y = theSineOfAnglesOfATriangle(A,h);

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