the ratio of the areas of two similar triangles is 25:36. The smaller triangle has a side of length 10cm.What is the length of corresponding sidevof the larger side
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Answer:
12 cm
Step-by-step explanation:
See for this one need to have knowledge about the relation in ratios of sides , areas and medians of 2 similar triangles.
The Ratio of sides = Ratio of medians
The Ratio of Areas = (Ratio of sides)² = (Ratio of medians)²
Ratio medians = √(Ratio of medians)
Let the bigger median be x , then
\frac{x}{10}10x = \sqrt{\frac{25}{36} }3625
\frac{x}{10}10x = \frac{5}{6}65
∴ x = 12
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