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.
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.