Heron backlaw

Calculate missing side in a triangle with sides 17 and 34 and area 275.

Result

x =  33

Solution:

$\alpha = \arcsin(\dfrac{2 \cdot 275 }{ 17 \cdot 34}) = 72^\circ 5'35" \ \\ \ \\ x = \sqrt{ 17^2+34^2-2 \cdot 17 \cdot 34 \cdot \cos( \alpha) } = 33$

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