Answer:
30 is answer.
Step-by-step explanation:
We shall use Pythagorean theorem to find the value of x .
Pythagorean theorem triplets is given by
[tex]a^{2} +b^2 = c^2[/tex]
here in the question a=x ,b = 16 and c = 34
plugging these value in the above relation ,we get
[tex]x^{2} +16^2 = 34^2[/tex]
[tex]x^{2} =-16^2 +34^2[/tex]
[tex]x^2 = -256+1156[/tex]
[tex]x^2 = 900[/tex]
taking square root ,we get
x = 30
First option is the answer.
Answer:
x=30
Step-by-step explanation:
In right angle triangle by Pythagoras theorem
[tex]hypotenuse^2=perpendicular^2+base^2[/tex]
In given figure
[tex]hypotenuse=34\\base=16\\perpendicular=x[/tex]
Apply pythagorous theorem in given figure
[tex]34^2=x^2+16^2[/tex]
[tex]34^2-16^2=x^2[/tex]
[tex]1156-256=x^2[/tex]
[tex]x^2=900[/tex][tex][/tex]
[tex]x=30[/tex]
