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3 years ago

HELP PLZ!!!! Find the length CU. The Triangles are Similiar.

Mathematics

1 answer:

kari74 [83]3 years ago

5 0

Answer:

CU = 117

Step-by-step explanation:

Since we have similar triangles, we can use proportions. Put the small triangle sides over the large triangle side.

WC WD

----------- = -------------

WU WV

26 20

----------- = -------------

36x-1 110

Using cross products

26*110 = 20* (36x-1)

Distribute

2860 = 720x - 20

Add 20 to each side

2860+20 = 720x-20+20

2880 = 720x

Divide by 720

2880/720 = 720x/720

4=x

We need to find CU

CU = WU - WC

Substituting in what we know

CU = 36x-1 -26

Since we know x=4

= 36*4 -1 -26

144 - 27

= 117

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