Question

Find the length of side x in simplest radical form with a rational denominator.60 30 1

Answer 1

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It's the triangle 30° - 60° - 90°.

The sides are in proportion 1 : √3 : 2 (look at the picture).

Therefore we have:

$\dfrac{x\sqrt3}{2}=5$

multiply both sides by 2

$x\sqrt{3}=10x$

multiply both sides by √3

$3x=10\sqrt{33x}=10$

divide both sides by 3

$\boxed{x=\dfrac{10\sqrt3}{3}}$

Answer 2

Answer:7

Step-by-step explanation: