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  sin⁡B=bc  c=b/sin⁡(B)=1.5/sin⁡(0.3491)≐4.3857≐4.386A=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=c2−b2=4.38572−1.52≐4.1215≐4.122a=\sqrt{ c^2 - b^2 }=\sqrt{ 4.3857^2 - 1.5^2 } \doteq 4.1215 \doteq 4.122

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