Question

Determine o valor de x em cada triângulo​

Answer 1

Resposta:

Basta usar as fórmulas abaixo:

b² = a . m

c² = a . n

h² = m . n

a . h = b . c

a)

b² = a . n

15² = a . 9

225 = 9a

225/9 = a

a = 25

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agr basta usar Pitágoras..

a² = b² + c²

25² = 15² + c²

625 = 225 + c²

625 - 225 = c²

400 = c²

√400 = c

c = 20/ x = 20

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b)

a . h = b . c

26 . x = 10 . 24

26x = 240

x = 240/26

x ≈ 9,23

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c)

b² = a . n

12² = x . 8

144 = 8x

144/8 = x

x = 18

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d)

20 - 14 = 6

logo o m = 6.

h² = m . n

h² = 6 . 14

h² = 84

h = √84

h = 2√21 / x = 2√21

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e)

c² = a . n

21² = 28 . n

441 = 28n

441/28 = n

n = 15,75/ x = 15,75