Question

HELP!!! The length of the unknown side is _____. 6.7 7 10.8 1.73

Answer 1

c =
`√(117)`

Explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

c² = 9² + 6² = 81 + 36 = 117 ( take the square root of both sides )

c =
`√(117)` ≈ 10.8 ( to 1 dec. place )

Answer 2

c =
`3√(13)`

Explanation:

Step 1: Use Pythagorean theorem

a^2 + b^2 = c^2

PLUG IN

(9)^2 + (6)^2 = c^2

81 + 36 = c^2

117 = c^2

Step 2: Square root both sides

`√(117)` =
`√(c^2)`

`√(3^2*13)` = c

`3√(13)` = c

Answer: c =
`3√(13)`