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

Solution 1975721

Submitted on 14 Oct 2019 by Khanh Le Quang

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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) y = 0 0 6 y = 0 5 6 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) y = 0 0 24 y = 0 13 24 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) y = 0 0 30 y = 0 17 30 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) y = 0 0 9.0909 y = 0 11.9021 9.0909 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) y = 0 0 3.3333 y = 0 3.4319 3.3333 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) y = 0 0 30 y = 0 18.0278 30.0000 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) y = 0 0 20 y = 0 10.0125 20.0000 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) y = 0 0 26.7380 y = 0 13.7332 26.7380 y = 13.7332 13.7332 26.7380