Question

Find the values of X and Y using the given chord secant and tangent lengths

Answer 1

Check the picture below.

`x^2=(5+25)(5)\implies x^2=150\implies x=√(150)\implies x=5√(6) \\\\[-0.35em] ~\dotfill\\\\ x^2=(10+y)(10)\implies (√(150))^2=100+10y\implies 150=100+10y \\\\\\ 50=10y\implies \cfrac{50}{10}=y\implies 5=y`