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avatar+125 

i got this thus far:

a.

i.M(10,12)

ii. radius = 7

b. MN = 25

 I require help on C please 

 Nov 25, 2019
 #1
avatar+105476 
+2

(c)  the radius of the circle will meet the tangent at  a right angle

 

Thus...points MNP  from a right triangle

 

We know the distance fom M to P  = the radius = 7

 

The distance from M to N  is the hypotenuse  =    sqrt  [ (25 - 10)^2 + (32 - 12)^2 ]  =

 

sqrt [ 15^2  + 20^2 ]   =

 

sqrt [ 225 + 400 ]  =

 

sqrt [ 625]  =

 

25 

 

So....using the Pythagorean Theorem  MP^2 + NP^2  = MN^2...so....

 

NP  =  sqrt [ MN^2 - MP^2 ]     =  sqrt [ 625 - 49 ]   =  sqrt [ 576]   =   24

 

 

cool cool cool

 Nov 25, 2019
edited by CPhill  Nov 26, 2019

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