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In the diagram , triangle OHJ ~ triangle WIM. Find the value of x?

In the diagram , triangle OHJ ~ triangle WIM. Find the value of x?-example-1

1 Answer

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Answer: 51

Work Shown:

Use the converse of the SSS (side side side) similarity theorem. This says that if two triangles are similar, then their sides are in proportion

OH/WI = HJ/IM ... see the attached diagram below

48/64 = x/68

48*68 = 64x ... cross multiply

3264 = 64x

64x = 3264

x = 3264/64 .... divide both sides by 64

x = 51

In the diagram , triangle OHJ ~ triangle WIM. Find the value of x?-example-1
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