Solve for x.
answers available are.
a.) 12.5
b.) 4√7
c.) 3√7
d.) 12

d) 12

Step-by-step explanation:

Given:

Right triangle with side 9+7=16

let the third side of bigger triangle be y

and perpendicular line between 9 and 7 be z

Now:

By Pythagoras theorem:

(16)^2=x^2+y^2

x^2=256-y^2

Also

y^2=z^2 +7^2

z^2=y^2-49

and

x^2=9^2 + z^2

Now substituting z^2=y^2-49 in above we get:

x^2=81 + y^2-49

x^2=32+y^2

Adding x^2=256-y^2 and x^2=32+y^2 we get:

2x^2= 288

x^2=144

x=12 !

one that is bigger than 3 1/2

step-by-step explanation: