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:

$c=\sqrt{a^2+b^2}$

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

$c=\sqrt{3^2+6^2}=\sqrt{9+36\text{ }}=\sqrt{45}\text{ = 6.7}$

Then, we can conclude that the correct answer is:

$c=\text{ 6.7}$