Question

In $\Delta ABC$, if $\sin A+\sin B+\sin C=\sqrt{2}+1$ and $\cos A+\cos B+\cos C=\sqrt{2}$, then the triangle is

• A. equilateral
• B. right angled
• C. isosceles
• D. right angled isosceles

Answer 1

The correct option is D right angled isosceles

We can see that given condition can only be satisfied

when $A=B={45}^o$ and $C={90}^o$

which forms a Right Angled Isosceles triangle.

Therefore Answer is $D$