# Right triangle trigonometrics

Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)

Result

a =  17.321 cm
C =  90 °

#### Solution:

$b=10 \ \text{cm} \ \\ c=20 \ \text{cm} \ \\ a=\sqrt{ c^2-b^2 }=\sqrt{ 20^2-10^2 } \doteq 10 \ \sqrt{ 3 } \ \text{cm} \doteq 17.3205 \ \text{cm} \doteq 17.321 \ \text{cm}$
$C=180 - (60+30)=90=90 ^\circ$

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