Answer:
x=6.6 cm
Step-by-step explanation:
The angle force at the point where the tangent touches the circle is 90° hence the triangle is a right angle triangle . We can apply the Pythagorean relationship in this case
Given the hypotenuse as x+ 8.45 and the base as x and height as 13.5 then;
a²+b²=c² .................where a=x , b= 13.5 and c x+8.45
x² +13.5²= (x+8.45)²
x²+182.25=x²+8.45x+8.45x+71.4025
x²+182.25=x²+16.90x+71.4025-----------------collect like terms
x²-x²+ 182.25-71.4025=16.90x
110.8475=16.90x-------------------divide by 16.90 to remain with x
110.8475/16.90 = x
x=6.5590
x= 6.6 cm
