Mencari Tinggi Segitiga Bila Dikenali Luas Dan Bantalan

Contoh Soal Luas dan Keliling SegitigaCara Menentukan Jenis SegitigaJenis-Jenis SegitigaCara Mencari Tinggi Segitiga Jika Diketahui Alas Dan Sisi Miring Rumus Mencari Tinggi Segitiga

Gambar (i) ialah segitiga siku-siku

Gambar (ii) ialah segitiga sama kaki

Gambar (iii) yakni segitiga sama segi

Rumus untuk mencari Luas untuk ketiga jenis segitiga di atas adalah : Luas Δ =

1 / 2

x a x t

a menyatakan alas segitiga
t menyatakan tinggi segitiga

Lalu bagaimana cara mencari tingginya ? Dari luas segitiga, kita dapat mencari rumus tingginya yaitu : t =

2 x Luas Δ / a

Contoh Soal Mencari Tinggi Segitiga Soal No.1 Sebuah segitiga mempunyai alas sebesar 5 cm dan Luas 15 cm2. Hitunglah tinggi segitiga tersebut ? Pembahasan a = 5 cm
Luas Δ = 15 cm²

t =

2 x Luas Δ / a

t =

2 x 15 / 5

t = 6 cm

Makara tinggi segitiga tersebut yaitu 6 cm

Soal No.2

Perhatikan segitiga siku-siku di ataas. Pada segitiga ABD tersebut dikenali panjang sisi BC sebesar 4cm, panjang sisi AC sebesar 4 cm dan Luas Δ ABD = 40 cm2.Hitunglah tingginya ? Pembahasan a = BC + AC = 4 + 4 = 8 cm
Luas Δ ABD = 40 cm²

t =

2 x Luas Δ / a

t =

2 x 40 / 8

t =

80 / 8

t = 10 cm

Kaprikornus tinggi Δ ABD yaitu 10 cm

Soal No.3 Sebuah segitiga sama kaki mempunyai panjang ganjal sebesar 6 cm. Hitunglah tinggi segitiga tersebut bila dikenali Luas segitiga sama kaki tersebut 12 cm² ? Pembahasan a = 6 cm
Luas Δ = 12 cm²

t =

2 x Luas Δ / a

t =

2 x 12 / 6

t =

24 / 6

t = 4 cm

Jadi tinggi segitiga sama kaki tersebut yaitu 4 cm

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