Solve for x.Answers available are.a.) 12.5b.) 4β7c.) 3β7d.) 12
Accepted Solution
A:
Answer:d) 12Step-by-step explanation:Given:Right triangle with side 9+7=16let the third side of bigger triangle be yand perpendicular line between 9 and 7 be zNow:By Pythagoras theorem:(16)^2=x^2+y^2x^2=256-y^2Alsoy^2=z^2 +7^2z^2=y^2-49andx^2=9^2 + z^2Now substituting z^2=y^2-49 in above we get:x^2=81 + y^2-49x^2=32+y^2Adding x^2=256-y^2 and x^2=32+y^2 we get:2x^2= 288x^2=144x=12 !