Question

HELP ME NOW IM FAILING

Answer 1

The length of the third side of triangle is
`√(19)` or approximately 4.358898944.

Since the triangle is a right-angled triangle, we can use the Pythagoras theorem. Pythagoras theorem states that, in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

So,

`a^2+b^2=c^2`

Here,

a=9, c=10

`9^2+b^2=10^2`

`b^2=10^2-9^2`

`b^2=100-81`

`b^2=19`

`b=√(19)`

The
`√(19)` is an irrational number, meaning it cannot be expressed as a simple fraction, and its decimal representation goes on forever without repeating. The approximate value of the
`√(19)` is approximately 4.358898944.