From a point on one diagonal of a rectangle of longer dimension 60 , a line segment drawn perpendicular to the other diagonal creates a right triangle with leg-lengths 5 and 12, as shown. How long is a shorter side of the rectangle?

Mathematics
Competition
Math League
Exam No:2024 First Round Grades 8-9 Year:2024 Question No:21

Answer:

40

Knowledge points:

G8-9 - Algebra - Logarithm Properties (Introductory)
G8-9 - Algebra - Sequences & Series (Geometric)

Solution:

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