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Mathematics 24 Online
OpenStudy (jchristinee):

What is the length of AC?

OpenStudy (jchristinee):

OpenStudy (confluxepic):

The length of AC is 144-x. ;)

OpenStudy (jchristinee):

if only it were that easy! i tried the cross multiply method but not sure which way it goes

Vocaloid (vocaloid):

3/51 = x/(144-x)

Vocaloid (vocaloid):

using AAA method of triangle similarity

Directrix (directrix):

The two triangles are similar. As a result, lengths of corresponding sides are in proportion. 144 - x is to x as 51 is to 3 (144 - x)/x = 51/3 144 - x 17 ------- = ------ x 1 144 - x = 17x Solve for x @jchristinee After you solve for x, look at the diagram to see one more calculation to do to get AC.

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