Chapter 10.8, Problem 8PSB

a)

To determine

To find: Find y

Answer to Problem 8PSB

y=9

Explanation of Solution

Given Information:

  

Formula Used: By tangent secant Theorem

Calculation:

  $\begin{array}{l}\text{Let x be the intermediate portion of secant inside the circle}\text{.}\\ 3\cdot (y+3)=4\cdot (4+x)\\ 4x-3y=7\mathrm{......}(1)\\ 62=4\cdot (4+x)\\ 36=16+4x\\ x=5\\ \text{Putting the value of x in Eq}\text{. 1}\\ -3y=-27\\ y=9\end{array}$

b)

To determine

To Find: Is the triangle is acute, right or obtuse?

Answer to Problem 8PSB

Triangle is obtuse

Explanation of Solution

Given Information:

  

Formula Used: By tangent secant Theorem

Calculation:

  $\begin{array}{l}\text{As the Secant is not passing from the center so the angle is greater is 90°}\text{.}\\ \text{So the triangle is Obtuse}\text{. }\end{array}$