Question

solve for the missing side of the right triangle below. Simplify then completely convert to a decimal.

Answer 1

Question:

Solution:

The given triangle is:

Notice that the given triangle is a right triangle, thus we can apply the Pythagoras theorem to find the missing side c :

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

Applying the square root, we get:

`c=√(a^2+b^2)`

now, replacing the data of the problem in the above equation, we get:

`c=√(3^2+6^2)=\sqrt{9+36\text{ }}=√(45)\text{ = 6.7}`

Then, we can conclude that the correct answer is:

`c=\text{ 6.7}`