Connected right triangles

Connected right triangles

Secondary 2
3 marks
TGM Original Questions

A right-angled triangle has hypotenuse 29 and vertical leg 20; its base is split equally at \(R\). From \(R\), a second right-angled triangle has vertical leg 6; find the half-base \(m\) and its hypotenuse \(n\).[3]

All lengths are in centimetres. Give non-exact answers to 3 significant figures unless an exact value is requested.

Solution:

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Answer:\(m=10.5\text{ cm},\ n=12.1\text{ cm}\) (3 s.f.).

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