Question

please solve this problem

Answer 1

Ello There

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Part 1

a = 6

b = 8

c = ?

Hypotenuse² = Base² +  Altitude²

c² = b² + a²

c² = 8² + 6²

c² = 64 + 36

c² = 100

c = √100

c = 10

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Part 2

a = ?

b = 24

c = 25

Hypotenuse² = Base² +  Altitude²

c² = b² + a²

25² = 24² + a²

25² - 24² = a²

625 - 576 = a²

a² = 49

a = √49

a = 7

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Part 3

a = 16

b = 30

c = ?

Hypotenuse² = Base² +  Altitude²

c² = b² + a²

c² = 30² + 16²

c² = 900 + 256

c² = 1156

c = √1156

c = 15

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Part 4

a = 40

b = ?

c = 41

Hypotenuse² = Base² +  Altitude²

c² = b² + a²

41² = b² + 40²

41² - 40² = b²

1681 - 1600 = b²

81 = b²

b = √81

b = 9

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Part 5

a = ?

b = 8

c = 17

Hypotenuse² = Base² +  Altitude²

c² = b² + a²

17² = 8² + a²

17² - 8² = a²

289 - 64 = a²

225 = a²

a = √225

a = 15

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Part 6

a = 5

b = ?

c = 13

Hypotenuse² = Base² +  Altitude²

c² = b² + a²

13² = b² + 5²

13² - 5² = b²

169 - 25 = b²

144 = b²

b = √144

b = 12