On base $BD=30$ cm, $BC=x$ and $CD=8$ cm. Right-angled triangle $ABC$ has hypotenuse \(AB=25

Question

On base $BD=30$ cm, $BC=x$ and $CD=8$ cm. Right-angled triangle $ABC$ has hypotenuse $AB=25$ cm. Point $E$ lies on $AC$, with $EC=6$ cm; find $x=BC$ and $y=AE$. $25$ $30$ $10$ $6$ $x$ $y$ $B$ $C$ $D$ $A$ $E$ All lengths are in centimetres. Give non-exact answers to 3 significant figures unless an exact value is requested.

Accepted Answer

$x=22\text{ cm},\ y=5.87\text{ cm}$ (3 s.f.).

Connected right triangles

Connected right triangles

Solution:

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