Jawaban:

Panjang sisi KL

LM : KL = √3 : 1

\displaystyle \frac{LM}{KL} = \frac{\sqrt{3}}{1}

KL

LM

=

1

3

\displaystyle \frac{15}{KL} = \frac{\sqrt{3}}{1}

KL

15

=

1

3

√3 × KL = 15 × 1

KL = \displaystyle \frac{15}{\sqrt{3}}

3

15

KL = \displaystyle \frac{15}{\sqrt{3}} \times \frac{\sqrt{3} }{\sqrt{3} }

3

15

×

3

3

KL = \displaystyle \frac{15\sqrt{3} }{3}

3

15

3

KL = 5√3 cm

Jadi panjang KL adalah 5√3 cm

b. Panjang KM

LM : KM = √3 : 2

\displaystyle \frac{LM}{KM} = \frac{\sqrt{3}}{2}

KM

LM

=

2

3

\displaystyle \frac{15}{KM} = \frac{\sqrt{3}}{2}

KM

15

=

2

3

KM × √3 = 15 × 2

√3 KM = 30

KM = \displaystyle \frac{30}{\sqrt{3}}

3

30

KM = \displaystyle \frac{30}{\sqrt{3}} \times \frac{\sqrt{3} }{\sqrt{3}}

3

30

×

3

3

KM = \displaystyle \frac{30\sqrt{3} }{3}

3

30

3

KM = 10√3 cm

Jadi panjang KM adalah 10√3 cm