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Concept:-Value of AB <AP+PB as sum of sides of two triangle is always greater than third side.
Solution:-Use the concept of similarty of triangle
angleAPB=angleMPC (vertically opposite)
angle PAB=anglePCD (alternate interior Angle)
so, ∆APB~∆MPC (AA criteria)
using property of similarty we can write
AP/PC=PB/MP=AB/MC....i)
it is said that
MC=DC/2
so,
MC=AB/2=>2MC=AB
put this value in i)
PB/MP=2MC/MC
PB=2MP
PB=30×2=60
Now as we get AP=60,PB=65(given)
so,
AB<AP+PB
AB<60+65
AB<125
The maximum value of AP can be 124.9...
but as it is said only integral value and we know
Maximum integral value less than 125 is 124
so, maximum value of AB=124cm
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1
Answer:
hi mate
Explanation:
- maximum value of AB=124cm. hope it helps u. follow me and give answers to my questions
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