Two Quadrances and a Spread

Geometry Level pending

Consider a trilateral where two of the quadrances(square of the distance) are 16 and 25. The spread that separates these two quadrances is 24 25 \frac{24}{25} .

What is the quadrance of the third side?

You should use the Cross law: ( Q 1 + Q 2 Q 3 ) 2 = 4 Q 1 Q 2 ( 1 s 3 ) (Q_1+Q_2-Q_3)^2 = 4Q_1Q_2(1-s_3)

Where Q 1 = 16 , Q 2 = 25 , s 3 = 24 25 Q_1=16, Q_2=25, s_3= \frac{24}{25}

49.1 7 50 49

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