Question

Please help me out ........

Answer 1

13.86 units to the nearest hundredth.

Explanation:

By Pythagoras:

16^2 = x^2 + 8^2

x^2 = 16^2 - 8^2

x^2 (16 + 8)(16 - 8) = 192

x = √192

= 13.86 (answer).

Answer 2

x = 8
`√(3)`

Explanation:

Since the triangle is right use Pythagoras' theorem to solve for x

The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides, thus

x² + 8² = 16²

x² + 64 = 256 ( subtract 64 from both sides )

x² = 192 ( take the square root of both sides )

x =
`√(192)` =
`√(64(3))` = 8
`√(3)`