Question

Help plsSolve for [x]. Assume that lines which appear Tangent are Tangent. Find BSa) 9b) 8c) 10d) 12

Answer 1

By the thales theorem

`(x+2)/(6)=(6)/(x-3)`

then

`(x-3)(x+2)=36`
`x^2+2x-3x-6=36`
`x^2-x-42=0`

solving the quadratic equation

then x will be equal to 7 or -6, but since x is a positive measure we conclude that x=7. Then we replace x for 7 in x+2 obtaining that BS=9