Quantitative | Re: Users' Self Made Questions

Suppose side QR=Length (L), and side RS = Breath (B)
From I,
2(L+B)=28
L+B=14 ..................... (i) , NOT SUFFICIENT

from II,
L^2+B^2=H^2
L^2+B^2=10^2

add 2LBin both sides

L^2+2LB+B^2=100+2LB
(L+B)^2=100+2LB ........... (ii) NOT SUFFICIENT

putting valu of L+B in eq ii
14^2=100 +2LB
LB=48
L=48/B .............................(iii)

Putting value of L in eq (i)
48/B+B=14
B^2-14B+48 = 0
B=6 and 8,
Hence Either (PS, SR) = (6,8) or (PS, SR) = (8,6)

Hence the radius of the semicircle
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