Materi : Kesebangunan dan Kekonggruenan
UP : UQ = 3 : 2 , PQ = 5
Panjang UT
a¹ = PR = 15 , b¹ = PQ = 5
a² = UT , b² = UQ = 2
___________________/
a²/a¹ = b²/b¹
UT/PR = UQ/PQ
UT/15 = ⅖
UT = 15 × ⅖
UT = 3 × 2
UT = 6 cm
Maka Panjang ST = PR - UT = 15 - 6 = 9 cm
a¹ = 4 , b¹ = 12 , c¹ = 8
a² = BC = CE + 8 , b² = 14 , c² = AB = AD + 12
__________________________
Panjang CE
( CE + 8 )/4 = 14/12
6( CE + 8 ) = 28
3( CE + 8 ) = 14
CE + 8 = 4⅔
CE = - 3⅓ cm
Panjang AD
c²/c¹ = b²/b¹
( AD + 12 )/8 = 14/12
6( AD + 12 ) = 56
AD + 12 = 9⅓
AD = - 2⅔ cm
Semoga bisa membantu
[tex] \boxed{ \colorbox{navy}{ \sf{ \color{lightblue}{ Answer\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
[tex]QU =\frac{2}{3}UP\\\\\frac{QU}{UP} = \frac{2}{3} \: \: \: \: \: \: \: [/tex]
..
[tex]\begin{aligned}\frac{QU}{QP} &= \frac{UT}{PR}\\\\\frac{2}{2+3} &= \frac{UT}{15} \\\\\frac{2}{5} &= \frac{UT}{15} \\\\5 \times UT&=15 \times 2 \\\\UT&= \frac{30}{5} \\ \\UT&=6\end{aligned}[/tex]
Panjang TS
= PR - UT
= 15 - 6
= 9
[tex] \\ [/tex]
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Materi : Kesebangunan dan Kekonggruenan
Soal Nomor 6
UP : UQ = 3 : 2 , PQ = 5
Panjang UT
a¹ = PR = 15 , b¹ = PQ = 5
a² = UT , b² = UQ = 2
___________________/
a²/a¹ = b²/b¹
UT/PR = UQ/PQ
UT/15 = ⅖
UT = 15 × ⅖
UT = 3 × 2
UT = 6 cm
Maka Panjang ST = PR - UT = 15 - 6 = 9 cm
Soal Nomor 7
a¹ = 4 , b¹ = 12 , c¹ = 8
a² = BC = CE + 8 , b² = 14 , c² = AB = AD + 12
__________________________
Panjang CE
a²/a¹ = b²/b¹
( CE + 8 )/4 = 14/12
6( CE + 8 ) = 28
3( CE + 8 ) = 14
CE + 8 = 4⅔
CE = - 3⅓ cm
Panjang AD
c²/c¹ = b²/b¹
( AD + 12 )/8 = 14/12
6( AD + 12 ) = 56
AD + 12 = 9⅓
AD = - 2⅔ cm
Semoga bisa membantu
[tex] \boxed{ \colorbox{navy}{ \sf{ \color{lightblue}{ Answer\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
Nomor 6
[tex]QU =\frac{2}{3}UP\\\\\frac{QU}{UP} = \frac{2}{3} \: \: \: \: \: \: \: [/tex]
..
[tex]\begin{aligned}\frac{QU}{QP} &= \frac{UT}{PR}\\\\\frac{2}{2+3} &= \frac{UT}{15} \\\\\frac{2}{5} &= \frac{UT}{15} \\\\5 \times UT&=15 \times 2 \\\\UT&= \frac{30}{5} \\ \\UT&=6\end{aligned}[/tex]
..
Panjang TS
= PR - UT
= 15 - 6
= 9
[tex] \\ [/tex]
Nomor 7
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