Question

Tolong dijawab pakek caranya ​

Answer 1

Verified answer

Jawab:
[4.] Keliling = 24 cm
[5.] √3 : 1

Penjelasan :
[4.] Pythagoras
AD² = AE² + BC²
AD² = 3² + 4²
AD² = 9 + 16
AD² = 25
AD = √25
AD = 5 cm
Keliling = AD + AE + BE + BC + CD
Keliling = 5 + 3 + 6 + 4 + 6
Keliling = 24 cm

[5.] AB = x
tan30° = AB/BD
maka 1/√3 = x/BD
BD = x√3
Perbandingan luas
ABD : ABC =
(AB·BD÷2) : (AB·BC÷2) =
(AB·BD) : (AB·BC) =
AB = BC, maka
(AB·BD) : (AB·AB) =
(x · x√3) : (x · x) =
√3 : 1

(xcvi)

Answer 2

Penjelasan dengan langkah-langkah:

4. AD^2 = AE^2 + DE^2

AD^2 = 3^2 + 4^2

AD = √25

AD = 5 cm

Keliling : 9 cm + 4 cm + 6 cm + 5 cm = 24 cm

5. AB = sin 30 × AD

AB = 1/2 × 24√2

AB = 12√2 cm

BD = AB × tan 60

BD = 12√2 × √3 = 12√6cm

Luas ABD

1/2 × 12√2 × 12√6

= 72 √12 cm

= 144 √3 cm^2

Luas ABC

1/2 × 12√2 × 12√2

= 72 √4 cm

= 144 cm^2

ABD : ABC = 144√3 cm^2 : 144 cm^2

= √3 : 1