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Theorems related to triangles - class-X
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The sides of triangle are in A.P. and the greatest angle exceeds the least by 90. The sides are in the ratio _____________.
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A
$\sqrt { 7 } + 1 : \sqrt { 7 } : \sqrt { 7 } - 1$
💡 Explanation:
Let the sides be a-d, a, a+d. Using the law of cosines and the condition that the largest angle exceeds the smallest by 90 degrees, one can derive the ratio of the sides as sqrt(7)+1 : sqrt(7) : sqrt(7)-1.