Answer:
x = 9m
Step-by-step explanation:
We can tell we need to use pythagoras theory because it is a right angle triangle as proven by the symbol:
[tex]a^2 + b^2 = c^2[/tex]
Seeing as we have the hypotenuse, we need to change the subject to a or b as we need to find a side:
[tex]a^2 = c^2 - b^2[/tex]
Now substitute in the known variables:
[tex]a^2 = 15^2 - 12^2[/tex]
[tex]a^2 = 225 - 144[/tex]
[tex]a^2 = 81[/tex]
Square root both sides to find a:
[tex]\sqrt{a^2} = \sqrt{81}[/tex]
[tex]a = \sqrt{81}[/tex]
a = 9
x = 9m
Hope this helps!
