Cody

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

Solution 2024043

Submitted on 16 Nov 2019 by Le Duc Vu
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Test Suite

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)

base = 6 yy = 5 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)

base = 24 yy = 13 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)

base = 30 yy = 17 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)

base = 9.0909 yy = 11.9021 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)

base = 3.3333 yy = 3.4319 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)

base = 30 yy = 18.0278 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)

base = 20 yy = 10.0125 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)

base = 26.7380 yy = 13.7332 y = 13.7332 13.7332 26.7380

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