Triangle Calculator

The calculator will try to find all sides and angles of the triangle (right triangle, obtuse, acute), as well as its perimeter and area.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Solve the triangle, if $$$a = 7$$$, $$$b = 10$$$, $$$C = 45^0$$$.

Answer

$$$a = 7$$$A

$$$b = 10$$$A

$$$c = \sqrt{149 - 70 \sqrt{2}}\approx 7.07142493659399$$$A

$$$A = \left(\frac{- \pi \left(45 + \frac{180 \operatorname{acos}{\left(\frac{98 - 70 \sqrt{2}}{14 \sqrt{149 - 70 \sqrt{2}}} \right)}}{\pi}\right) + 180 \pi}{\pi}\right)^0\approx 44.4241677930775^0$$$A

$$$B = \left(\frac{180 \operatorname{acos}{\left(\frac{98 - 70 \sqrt{2}}{14 \sqrt{149 - 70 \sqrt{2}}} \right)}}{\pi}\right)^0\approx 90.5758322069225^0$$$A

$$$C = 45^0$$$A

Perimeter $$$P = \sqrt{149 - 70 \sqrt{2}} + 17\approx 24.071424936594$$$A.

Area $$$S = \frac{35 \sqrt{2}}{2}\approx 24.7487373415292$$$A.