Question

Two sides of a triangle are 2√2 cm and 2√3 cm and the angle opposite to the shorter side of the two is π/4. The largest possible length of the third side is

• A. √2(√3 + 1) cm
• B. (6 + √2) cm
• C. (√6 – √2) cm
• D. None of these

Answer 1

Answer: (C)

(√6 – √2) cm

Answer 2

$\cos\frac{\pi}{4}$ = $\frac{(2\sqrt{3})^{2} + x^{2}–(2\sqrt{2})^{2}}{2.2\sqrt{3}.x}$, x =$\sqrt{6}$± $\sqrt{2}$