A right-angled triangle has hypotenuse 15 and base 9; its height is $u$. An adjacent right-angled

Question

A right-angled triangle has hypotenuse 15 and base 9; its height is $u$. An adjacent right-angled isosceles triangle has legs $u$, so its hypotenuse is $v$.[3]

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

Accepted Answer

$u=12\text{ cm},\ v=12\sqrt2\approx17.0\text{ cm}$ (3 s.f.).

Connected right triangles

Connected right triangles

Solution:

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