Mathematics: In ΔRST, s = 5.5 cm, r = 7.8 cm and ∠R=74°. Find all possible values of ∠S, to the nearest 10th of a degree.

In ΔRST, s = 5.5 cm, r = 7.8 cm and ∠R=74°. Find

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16.08.2021

The solution for the system of right triangles are, respectively: $a = 2\sqrt{6}$ , $b = 4\sqrt{3}$ , $c = 4\sqrt{6}$ , $d = 6\sqrt{2}$

Step-by-step explanation:

By Geometry, we get the following equivalencies:

$a = 2\sqrt{6}$ (45 - 45 - 90 Theorem)

$b = \sqrt{2}\cdot (2\sqrt{6})$ (45 - 45 - 90 Theorem)

$b = 4\sqrt{3}$

$c = \frac{2\sqrt{6}}{\frac{1}{2} }$ (30 - 60 - 90 Theorem)

$c = 4\sqrt{6}$

$d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }$ (30 - 60 - 90 Theorem)

$d = 6\sqrt{2}$

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