# 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.**