Two isosceles triangles have equal vertical angles and their areas are in the ratio 4.84:5.29. What is the ratio of their corresponding heights?

Explanation

Two isosceles triangles with equal vertical angles are similar. The ratio of their heights is the square root of the ratio of their areas: \sqrt{\frac{4.84}{5.29}} = \sqrt{\frac{484}{529}} = \frac{22}{23}.

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