For reference: In the drawing, T is the point of tangency, L N <mrow class="MJX-TeXAtom-OR

Quintin Stafford

Quintin Stafford

Answered question

2022-06-20

For reference: In the drawing, T is the point of tangency, L N | | A T, O H = 4 and L N 2 + A M 2 = 164 . Calculate HN.

Answer & Explanation

Nola Rivera

Nola Rivera

Beginner2022-06-21Added 21 answers

Step 1
With given values N H 8 and if N H = 8 , O H = 4 and L N 2 + A M 2 = 164 then the figure can not be constructed. What I could construct is:
Radius of circles r = 5.5
L N = 8.94 , A M = 8.9 L N 2 + A M 2 = 158
L H = O H = 4
which gives : H N 2 = 8 , 9 2 4 2 = 8
A M N = 90 o
N M = 10.5
These measures give A N = 13.8
You have to show these measure by calculation.

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