Calculate 9701

In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, and the angle BCA = 35°. Calculate sides a b.

a = 5.455 cm
b = 9.5881 cm

c = 6 cm v_{1} = 5 cm γ = 35^{\circ} S = \frac{c \cdot v _{1}}{2} = \frac{6 \cdot 5}{2} = 15 cm^{2} tan α = v_{1} : c_{1} tan β = v_{1} : c_{2} c_{1} + c_{2} = c α + β + γ = 180 ° c_{1} \cdot tan α = v_{1} c_{2} \cdot tan (145 ° - α) = v_{1} c_{1} + c_{2} = c c_{1} \cdot tan α = v_{1} (c - c_{1}) \cdot tan (145 ° - α) = v_{1} c_{1} \cdot tan α = 5 (6 - c_{1}) \cdot tan (145 ° - α) = 5 α = 0.548585 ≐ 0.5486 rad A = α \to ° = α \cdot \frac{1 8 0}{π} ° = 0.5486 \cdot \frac{1 8 0}{π} ° = 31.43161 ° β = 145 / 180 π - α = 145 / 180 \cdot 3.1416 - 0.5486 ≐ 1.9821 rad B = β \to ° = β \cdot \frac{1 8 0}{π} ° = 1.9821 \cdot \frac{1 8 0}{π} ° = 113.56839 ° c_{1} = v_{1} / tan α = 5 / tan 0.5486 ≐ 8.1812 cm c_{2} = c - c_{1} = 6 - 8.1812 ≐ - 2.1812 cm cos β = c_{2} : a a = c_{2} / cos β = (- 2.1812) / cos 1.9821 = 5.455 cm

cos α = c_{1} : b b = c_{1} / cos α = 8.1812 / cos 0.5486 = 9.5881 cm

Try calculation via our triangle calculator.

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators

Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
See also our right triangle calculator.
Do you want to convert length units?
Do you want to convert time units like minutes to seconds?
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.