Find the length of both of the unknown sides in the triangle shown here. Give your answer correct to the nearest metre. [5 marks]

And if we solve this equation for x we got:

We can cancel in both sides and we have this:

And then we got:

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m

Step-by-step explanation:

For this case we have a right triangle and we can use the Pythagoras Theorem and using the info given by the triangle we can set up the following equation:

And if we solve this equation for x we got:

We can cancel in both sides and we have this:

And then we got:

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m