Question

Please help !! thanks in advance :D

Answer 1

a) 17

Explanation:

Look at the picture.

We have the right triangle (red). Use the Pythagorean theorem:

`leg^2+leg^2=hypotenuse^2`

We have

`leg=15,\ leg=r-9,\ hypotenuse=r`

Substitute:

`15^2+(r-9)^2=r^2` use (a - b)² = a² - 2ab + b²

`225+r^2-2(r)(9)+9^2=r^2`

`225+r^2-18r+81=r^2` subtract r² from both sides

`306-18r=0` subtract 306 from both sides

`-18r=-306` divide both sides by (-18)

`r=17`

Answer 2

`CIRCLES`

◆ A little manipulation of the diagram
( as shown in the attachment )

Once you're done with this simple manipulation and the labeling, we get the equation : OB² + BC² = OC²

• r² = ( r - 9 )² + 15²

Solve this trivial equation to get : r = 17

• Radius = 17 is your final answer .
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Hope this helps you :)