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kardilamira
Dik : BD = 6 cm BC = 14 cm Dit : a) AD = ...? b) AB = ....? c) L ABC = ....? Jwb : a) AD = √BD x CD = √6 x (BC - BD) = √6 x (14 - 6) = √6 x 8 =√48
b) AB = √BD x BC = √6 x 14 = √84
c) L ABC = 1/2 x AB x AC #AC = √CD x CB = √8 x 14 = √112 = 1/2 x √84 x √112 = 1/2 x √9.408 = √4704
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kautsarmus
AB²=BD x BC AB²=6 x (14+6) AB=√120 AB=√4√30 AB=2√30 cm
AD²=AB²-DB² AD²=(2√30)²-6² AD²=120-36 AD=√84 AD=√4√21 AD=2√21 cm
AC²=BC²-AB² AC²=20²-(2√30)² AC²=400-120 AC=√280 AC=√4√70 AC=2√70 cm
L=½xABxAC L=½x2√30 x 2√70 L=√30x2√70 L=2√2100 L=2√100√21 L=20√21 cm²
BC = 14 cm
Dit : a) AD = ...?
b) AB = ....?
c) L ABC = ....?
Jwb :
a) AD = √BD x CD
= √6 x (BC - BD)
= √6 x (14 - 6)
= √6 x 8
=√48
b) AB = √BD x BC
= √6 x 14
= √84
c) L ABC = 1/2 x AB x AC
#AC = √CD x CB
= √8 x 14
= √112
= 1/2 x √84 x √112
= 1/2 x √9.408
= √4704
AB²=6 x (14+6)
AB=√120
AB=√4√30
AB=2√30 cm
AD²=AB²-DB²
AD²=(2√30)²-6²
AD²=120-36
AD=√84
AD=√4√21
AD=2√21 cm
AC²=BC²-AB²
AC²=20²-(2√30)²
AC²=400-120
AC=√280
AC=√4√70
AC=2√70 cm
L=½xABxAC
L=½x2√30 x 2√70
L=√30x2√70
L=2√2100
L=2√100√21
L=20√21 cm²