Question

Oblicz pola równoległoboków

Answer 1

a)

P = 7 * ( 5 + 1) = 7* 6 = 42

b)

x^2 = 8^2 - 6 ^2 = 64 - 36 = 28 = 4*7

x = p(28 ) = 2 p(7)

a = x + 5 = 2 p(7) + 5

b = 5

h = 6

Pole trapezu

P1 = 0,5 *[a + b]*h = 0,5 *[ 2 p(7) + 5 + 5]*6 = 3*[ 2 p(7) + 10] = 6 p(7) + 30

Pole trójkąta prostokatnego

P2 = 0,5 x*h = 0,5 *2 p(7) * 6 = 6 p(7)

Pole równoległoboku

P = P1 - P2 = 6 p(7) + 30  - 6 p(7) = 30

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c)

a = 4

b = 8 p(2)

zatem

P = a*b*sin 45 st = 4 * 8 p(2) * p(2)/2 = 32

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