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p = 1/2* 8 * 5 = 20 cm kw.
to pole jest także równe P=1/2 *x* 6= 3x
3x = 20
x =20:3
x = 6 i 2/3
odp: wysokosc opuszczona na ten bok wynosi 6 i 2/3 cm.
Pozdrawiam
a = 8 cm
h = 5 cm
b = 6 cm
h₁ = ? [cm]
PΔ = 0,5(a*h)
PΔ = 0,5(b*h₁)
0,5(b*h₁) = 0,5(a*h) / :0,5
b*h₁ = a*h
(6 cm)*h₁ = (8 cm)*(5 cm)
(6 cm)*h₁ = (40 cm²) / :(6 cm)
h₁ = 40 cm²/6 cm
h₁ = 20/3 cm
h₁ = 6 i 2/3 cm
Odp: Wysokość opuszczona na drugi bok trójkąta wynosi 6 i 2/3 cm.