Question

determina lungimile notate cu litere in figurile de mai jos
repede va rogggg
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doar penultimele

Answer 1

Răspuns:

Explicație pas cu pas:

Δ ABC ; AH = 4 cm ; HC = 5 cm ; BH = ?

AC² = AH²+HC² = 4²+5² = 16+25 = 41 =>

AC = √41 cm

AC² = HC·BC => BC = AC²/HC = 41/5 =>

BH = BC-HC = 41/5 - 5 = (41-25)/5 = 16/5 = 3,2 cm

x = BH = 3,2 cm

Δ MNP ; MD = 6 cm (MD ⊥ PN) ; PD = 9 cm ; DN = ?

PM² = MD²+PD² = 6²+9² = 36+81 = 117

PM = √117 ; PM² = PD·PN => PN = PM²/PD = 117/9 = 13 cm

DN = PN - PD = 13-9 = 4 cm =>

y = DN = 4 cm

Δ DEF ; FH = 4 cm ; HE = 9 cm ; FE = 4+9 = 13 cm ; HD = ? HC = ?

(HC ⊥ DE)

FD² = FH·FE = 4·13 = 52 => FD = √52 = 2√13 cm

HD² = FD²-FH² = 52-16 = 36 => HD = 6 cm

DE² = HE·FE = 9·13 = 117 = > DE = 3√13 cm

Aria Δ DEH = DH·HE/2 = DE·HC/2 =>

HC = DH·HE/DE = 6·9/3√13 = 18/√13 = 18√13 /13 cm

t = HD = 6 cm ; z = HC = 18√13 /13 cm ≈ 5 cm

TRAPEZ GHIJ

GH = 25 cm  ; KG = ? ; JG = ?

KG = GH = 25 cm

JK = GH = 25 cm =>

JG = 25√2 cm =>

u = KG = 25 cm

w= JG = 25√2 cm

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