Similar Shapes (Lengths)

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Hard

In the triangle $L M N$ , the line segment $XY\,$ is parallel to the base $M N$ , where $X\,$ lies on $LM\,$ and $Y\,$ lies on $L N$ .

$L X = 12$ cm, $X M = 4$ cm, $M N = 20$ cm, $L Y = 9$ cm.

Calculate the length of $Y N$ .

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Calculate the length of $X Y$ .

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Similar Shapes (Lengths) Questions

Practise OCR GCSE Maths Similar Shapes (Lengths) with exam-style questions for Foundation and Higher tier. 28 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.