Cody

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

Solution 2104621

Submitted on 24 Jan 2020 by Jason Walker
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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)

b = 6 c = 25 x = 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)

b = 24 c = 169 x = 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)

b = 30 c = 289 x = 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)

b = 9.0909 c = 141.6612 x = 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)

b = 3.3333 c = 11.7778 x = 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)

b = 30 c = 325 x = 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)

b = 20 c = 100.2500 x = 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)

b = 26.7380 c = 188.6002 x = 13.7332 y = 13.7332 13.7332 26.7380