It is given that ΔABC ∼ ΔYZX and Ar ΔABC : Ar ΔXYZ = 256 : 25. If AB = 12 cm, BC = 10 cm, CA = 15 cm, then what is the value of YZ (in cm)?
15/4
The correct answer is 15/4.
Similarly, the ratio of corresponding altitudes would be $\frac{16}{5}$. Understanding the correspondence between vertices is critical. If the similarity was stated as ΔABC ∼ ΔXYZ, then AB would correspond to XY, BC to YZ, and CA to XZ. Always pay close attention to the order of vertices in the similarity statement.
Similar Questions
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Important Questions from Triangles, Congruence and Similarity
G is the centroid of the equilateral triangle ABC. If AB = 8√ 3 cm, then the length of AG is equal to:
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What is the area of quadrilateral ABCD?
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Sides of two similar triangles are in the ratio 4 ∶ 9. Area of these triangles are in the ratio:
