Mathematics: If m = n, the diameter of m = 148, and ab = 140, what is the length of nq?

If m = n, the diameter of m = 148, and ab = 140, - id1481403016490, lizbethmillanvazquez

lanakay2006

05.01.2022

$NQ=24\ units$

Step-by-step explanation:

we know that

Triangles ABM and CDN are congruent

CD=AB

AB=2AL ----> because the diameter divide the circle into two equal parts

CQ=AL=140/2=70 units

NC----> is the radius

NC=148/2=74 units ----> the radius is half the diameter

Applying Pythagoras Theorem find the value of NQ

$NC^{2}=NQ^{2}+CQ^{2}$

substitute the values

$74^{2}=NQ^{2}+70^{2}$

$NQ^{2}=74^{2}-70^{2}$

$NQ^{2}=576$

$NQ=24\ units$

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