Question

Solve for the length of the hypotenuse

Answer 1

5000

Explanation:

`3000^(2)` +
`4000^(2)` = 25000000

`√(25000000)` = 5000

Answer 2

5000

Explanation:

In a right triangle ,

`{c}^(2) = {a}^(2) + {b}^(2)`

`= > c = \sqrt{ {a}^(2) + {b}^(2) }`

where -

• c = hypotenuse
• a & b = the other two sides of the triangle

According to the question , let the hypotenuse of the triangle be 'c' . So ,

`c = \sqrt{ {3000}^(2) + {4000}^(2) }`

`= > c = √(9000000 + 16000000)`

`= > c = √(25000000) = 5000`

Hence , c = 5000