Jawaban:
a. 32 cm
b.
[tex]8 \sqrt{14} \: {cm}^{2} [/tex]
Penjelasan dengan langkah-langkah:
a.
K= a+b+c
K= 8 cm + 15 cm + 9 cm
K= 23 cm + 9 cm
K= 32 cm
b.
s= 1/2(a+b+c)
= 1/2(8 cm+15 cm+9 cm)
= 1/2(32 cm)
= 16 cm
Teorema Heron.
[tex] = \sqrt{s(s - a)(s - b)(s - c)} \\ = \sqrt{16(16 - 15)(16 - 8)(16 - 9)} \\ = \sqrt{16(1)(8)(7)} \\ = \sqrt{16 \times 56} \\ = 4 \sqrt{56} \\ = 8 \sqrt{14} [/tex]
➡️ a. Keliling ∆ABC
= AB + BC + AC
= 15 + 9 + 8
= 32 cm ✔️
➡️ b. Luas ∆ABC
[tex] = \frac{a \times t}{2} \\ = \frac{15 \times 8}{2} \\ = \frac{120}{2} \\ = 60 \: {cm}^{2} [/tex]
[answer.2.content]