Question

Find a in the figure below and place the value in the empty box

Answer 1

Answer:

a = 12m

Step-by-step explanation:

In order to solve this problem we will need to know the Pythagoras theorem that states that in a right angled triangle the square of the hypotenuse (the side opposite to the right angel) is equal to  the sum of the squares of the other two sides. This theorem can be written as an equation....

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

Now we can see that we can easily find the missing value by using this theorem. We just have to substitute the values. And we get the following

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

$a^{2} = c^{2} - b^{2}$

$a^{2} = 15^{2} - 9^{2}$

$a^{2} = 225 - 81$

$a^{2} = 144$

$a = \sqrt{144}$

$a = 12$