Answer:
17.1 meters
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
6 and 16 are the legs, because they form the right angle. c is the hypotenuse because it is opposite the right angle.
[tex]6^2+16^2=c^2[/tex]
Evaluate the exponents.
6^2= 6*6= 36
16^2= 16*16= 256
[tex]36+256=c^2[/tex]
Add 36 and 256.
[tex]292=c^2[/tex]
Since c is being squared, take the square root of both sides of the equation. The exponent and square root will cancel and leave c by itself
[tex]\sqrt{292} =\sqrt{c^2}[/tex]
[tex]\sqrt{292}=c[/tex]
[tex]17.0880075=c[/tex]
Round to the nearest tenth. The 8 in the hundredeth place tells us to roung the 0 in the tenth place up to a 1.
[tex]17.1=c[/tex]
c= 17.1 m
The missing length, or the hyptenuse is 17.1 meters.
