Right angled triangle 3

Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find its unknown sides length.

Result

c =  4.386
a =  4.122

Solution:

A=70  B=20 rad=20 π180 =20 3.1415926180 =0.34907=π/9 b=1.5  sinB=bc  c=b/sin(B)=1.5/sin(0.3491)4.38574.386A=70 \ ^\circ \ \\ B=20 ^\circ \rightarrow\ \text{rad}=20 ^\circ \cdot \ \dfrac{ \pi }{ 180 } \ =20 ^\circ \cdot \ \dfrac{ 3.1415926 }{ 180 } \ =0.34907=π/9 \ \\ b=1.5 \ \\ \ \\ \sin B=\dfrac{ b }{ c } \ \\ \ \\ c=b/\sin(B)=1.5/\sin(0.3491) \doteq 4.3857 \doteq 4.386

Try calculation via our triangle calculator.

a=c2b2=4.385721.524.12154.122a=\sqrt{ c^2 - b^2 }=\sqrt{ 4.3857^2 - 1.5^2 } \doteq 4.1215 \doteq 4.122



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Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.
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