A triangle PQR is an isosceles triangle with PQ = PR. the length of PQ , PR and QR are (2x+7) , (y+8)/2 and 10 cm. If the perimeter is not more than 60cm solve for x and y.
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Answer:
solution: (x,y) <= (1.5,12)
Step-by-step explanation:
Given
PQ=QR
therefore, (2x+7)=[(y+8)/2]
therefore, 4x+14=y+8
therefore, 4x-y=-6......(1)
now perimeter<=60
PQ+PR+QR <=60
therefore, (2x+7) + [(y+8)/2] + 10 <=60
therefore, 4x+y+42<=60
therefore, 4x+y<=18....(2)
by solving ...(1) & (2)
we get x<=(3/2) OR x<=1.5
& y<=12
solution: (x,y) <= (1.5,12)
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