In the figure TZ is tangent to the circle QPZ F... - JAMB Mathematics 1999 Question

In the figure, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units

In (\bigtriangleup)WOP, b² = r² - (4.50²...........(i)

In (\bigtriangleup)WOT, b(\bigtriangleup) + (4.5 + x)² = a²...........(ii)

In (\bigtriangleup)ZOT, a² = 6² + r² ..........(iii)

subst. equation (iii) and (i) in eqn (ii)

r² - (4.5)² + (4.5 + x)² = 36 = 20.25

= (4.5 + x)² = (\sqrt{56.25}) = (4.5 + x)

= 56.25

= 4.5 + x = 7.5

x = 3.0m

x =