Book Maths Puzzle Area and Volume

If the sides of a triangle measure 8,9,and 10,find the longest side of a similar triangle whose perimeter is 81.

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Book Other Question

Three times the larger of two numbers is equal to four times the smaller.the sum of the numbers is 21. please help me find the numbers. In right triangle ABC , CD is an altitude drawn to hypotenuse AB.

If AD=6,DB=24,find CD