Question

Determine o valor do lado desconhecido em cada triângulo a seguir:

Answer 1

A) (6)^(2) = (x)^(2) + (h)^(2)

36 = (x)^(2) + (h)^(2)

 

(7)^(2) = (5 – x)^(2) + (h)^(2)

49 = 25 – 10x + (x)^(2) + (h)^(2)

Como (x)^(2) + (h)^(2) = 36, temos:

49 = 25 – 50x + 36

10x = 36 + 25 – 49

10x = 12

x = 12/10

x = 1,2

 

B) (x)^(2) = (2,2)^(2) + (h)^(2)

(x)^(2) = (h)^(2) + 4,84

 

(9)^(2) = (10 – 2,2)^(2) + (h)^(2)

81 = (7,8)^(2) + (h)^(2)

81 = 60,84 + (h)^(2)

(h)^(2) = 81 – 60,84

(h)^(2) = 20,16

h = 4,49

 

Como h = 4,49, temos:

(x)^(2) = (h)^(2) + 4,84

(x)^(2) = (4,49)^(2) + 4,84

(x)^(2) = 20,16 + 4,84

(x)^(2) = 25

x = 5

 

Resposta: A) 1,2; B) 5.

Bons estudos!