Question

MTK!!!
tolong pake caranya ya
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Answer 1

Verified answer

1. a. AB = 12 cm

AC = 12√3 cm

AD = 6√3 cm

b. L = 72√3 cm

2. CD = 16 cm

BD = 9 cm

AB = 15 cm

Penjelasan dengan langkah-langkah:

1. BD = 6 cm

BC = 24 cm

CD = 24 - 6 = 18 cm

a. AB² = BD x BC

= 6 x 24

= 144

AB = √144 = 12 cm

AC² = CD x BC

= 18 x 24

= 432

AC = √432 = √(144x4) = 12√3 cm

AD² = BD x CD

= 6 x 18

= 108

AD = √108 = √(36x3) = 6√3 cm

b. Luas ABC = 1/2 x AB x AC

= 1/2 x 12 x 12√3

= 72√3 cm²

2. AC = 20, AD = 12

CD² = AC² - AD²

= 20² - 12²

= 400 - 144

= 256

CD = √256 = 16

AC² = CD x BC

BC = AC² : CD

= 20 x 20 : 16

= 25 cm

BD = BC - CD

= 25 - 16

= 9 cm

AB² = BD x BC

= 9 x 25

= 225

AB = √225 = 15 cm