In the diagram below, if OM=8 and MY=9, what does XZ equal?

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Answer 1 · 2018-06-08T05:19:20

The answer is d.
#XZ = 30#

From the problem: #OM=8# and #MY=9#

The radius of the circle can be obtained by:
#OY=OM+MY=8+9=17#

But #OX# is also the radius, so:
#OX=OY=17#

In the right triangle #triangleOXM#, we can apply Pythagoras:
#OX^2 = OM^2+XM^2#

#17^2=8^2+XM^2#
#XM^2=289-64=225#

So, #XM=15#

Since #XZ = 2*XM#

then: #XZ = 30#