1 answer:
9514 1404 393
Answer:
(b) 48
Step-by-step explanation:
In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.
x = √(36·64) = √36×√64 = 6×8
x = 48
_____
All of the triangles are similar, so the ratios of corresponding sides are the same.
short side/long side = x/64 = 36/x
x^2 = (64)(36) . . . . as above
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hi <3
lets call the unknown number 'x' for now and form an equation from what we know
1/3(x-9) = 15
now multiply both sides by 3
x - 9 = 45
add 9 to both sides
x = 54
hope this helps :)