Problem 43599. Find the sides of an isosceles triangle when given its area and height from its base to apex

Solution 3751158

Submitted on 20 Nov 2020 by Marco Tullio

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Test	Status	Code Input and Output
1	Pass	A = 12; h = 4; y_correct = [5 5 6]; assert(sum(abs(sidesOfTheTriangle(A,h)-y_correct))<1e-3) L2 = 25 B2 = 9 y = 5 5 6
2	Pass	A = 60; h = 5; y_correct = [13 13 24]; assert(sum(abs(sidesOfTheTriangle(A,h)-y_correct))<1e-3) L2 = 169 B2 = 144 y = 13 13 24
3	Pass	A = 120; h = 8; y_correct = [17 17 30]; assert(sum(abs(sidesOfTheTriangle(A,h)-y_correct))<1e-3) L2 = 289 B2 = 225 y = 17 17 30
4	Pass	A = 50; h = 11; y_correct = [11.9021492607341 11.9021492607341 9.09090909090909]; assert(sum(abs(sidesOfTheTriangle(A,h)-y_correct))<1e-3) L2 = 141.6612 B2 = 20.6612 y = 11.9021 11.9021 9.0909
5	Pass	A = 5; h = 3; y_correct = [3.43187671366233 3.43187671366233 10/3]; assert(sum(abs(sidesOfTheTriangle(A,h)-y_correct))<1e-3) L2 = 11.7778 B2 = 2.7778 y = 3.4319 3.4319 3.3333
6	Pass	A = 150; h = 10; y_correct = [18.0277563773199 18.0277563773199 30]; assert(sum(abs(sidesOfTheTriangle(A,h)-y_correct))<1e-3) L2 = 325 B2 = 225 y = 18.0278 18.0278 30.0000
7	Pass	A = 5; h = 0.5; y_correct = [10.0124921972504 10.0124921972504 20]; assert(sum(abs(sidesOfTheTriangle(A,h)-y_correct))<1e-3) L2 = 100.2500 B2 = 100 y = 10.0125 10.0125 20.0000
8	Pass	A = 42; h = pi; y_correct = [13.7331777948941 13.7331777948941 26.7380304394384]; assert(sum(abs(sidesOfTheTriangle(A,h)-y_correct))<1e-3) L2 = 188.6002 B2 = 178.7306 y = 13.7332 13.7332 26.7380

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