Etheses - Saurashtra University

(61) ∆ ABC ,3]SM6 l+SM6 K[P T[G]\ ,\AS[gã H K[4 TM ∠ BHC G]\ DF5 S[8,]\ m(A) 90 + 1 2 m ∠ A(C) 180 - m ∠ A(B) 2m ∠ A(D) 90 - 1 2 m ∠ A(62) ∆ ABC ,3]SM6 l+SM6 K[P T[G]\ ,\AS[gã H K[P Ô[ m ∠ A = 70 CMI4 TM ∠BHC G]\ DF5 S[8,]\ CMI m(A) 140 (B) 110 (C) 125 (D) 70(63) ∆ABC G]\ ,\AS[gã H l+SM6GF V\NZGF EFUDF\ K[P Ô[ m ∠ BHC = 100 CMI4 TM ∠ A G]\ DF5 S[8,]\ m(A) 80 (B) 50 (C) 20 (D) 10(64) ∆ ABC DF\ m ∠ A = 40 K[P ∆ ABC GF V\NZGF EFUDF\ VFJ[,]\ lA\N] M V[J]\ K[ S[ AM = BM = CMK[4 TM m ∠ BMC S[8,M CMI m(A) 20 (B) 40 (C) 80 (D) 110(65) ∆ ABC ,3]SM6 l+SM6 K[P T[G]\ V\ToS[gã I VG[ 5lZS[gã P K[P Ô[ m ∠ BIC = m ∠ BPCCMI4 TM GLR[GFDF\YL X]\ ;FR]\ K[ m(A) ∆ ABC ;DAFH] l+SM6 K[P(B) ∆ ABC DF\ m ∠ A = 60 K[P(C) I = P K[P(D) m ∠ B = m ∠ C K[P(66) l+SM6LI 5|N[X ABC G[ X\] ,BFI K[ m(A) ∆ ABC(B) ∆ ABC GM V\NZGM EFU(C) ∆ ABC GM ACFZGM EFU(D) ∆ ABC(67) ∆ ∗ ABC AZFAZ X]\ K[ m(A) ∆ ABC(B) ∠ ABC(C) ∆ ABC G]\ 1F[+O/(D) (∆ ABC) ∪ (∆ ABC GM V\NZGM EFUf(68) ‘∆ ∗ ABC VG[ ∆ * PQRGF 1F[+O/ ;DFG K[P˜ VF NXF"JJF DF8[ X]\ ,BL XSFI m(A) ∆ ∗ ABC ≅ ∆ ∗ PQR(B) ∆ ABC = ∆ PQR(C) ABC = PQR(D) ∆ ABC ≅ ∆ PQR(69) ;DF\TZAFH] RT]QSM6G]\ 1F[+O/ XMWJFG]\ ;}+ SI]\ m(A) A = 1 × 5FIM 2 T[G[ VG]~5 J[W2(C) A = 1 × V[S lJS6" 2 ALÔ[ lJS6"2(B) A = A[ S|lDS AFH]VMGM U]6FSFZ(D) A = 5FIM 2 T[G[ VG]~5 J[W(70) ∆ ABC GL AFH]VM AB , BC VG[ CA GF\ DwIlA\N]VM VG]S|D[ D, E VG[ F K[4 TM ∆ DEFGF 1F[+O/ lJX[ X]\ ;FR]\ GYL m(A) DEF = 1 4 ABC(C) DEF = 1 3 DECF(B) DEF = ADF(D) DEF = 12 DBEFsuur(71) ABCD ;D,\A RT]QSM6 K[ H[DF\ AB || CD K[P D DF\YL AB 5Z NMZ[,M J[WDM K[4 TM ABCD G]\ 1F[+O/ XMWJFG]\ ;}+ SI]\ m(A) AB × DM(B) CD × DM(C) 1 DM (AD BC)2 × + (D) 1 DM (AB CD)2 × +212