Answer to Question #228627 in Geometry for Rasgel

Question

35, Of a triangle we know that the sides a, b, c (a>b>c) and the angle α,β,γ opposite to the sides respectively. Which of the following statement is true.

A.      α + β > γ

B.     α + β = γ

C.     α + β < γ

D.     a + b < γ

Answer 1

A.      α + β > γ is correct, because there is a larger angle opposite the larger side, so γ is the smallest angle because c is the smallest side of the triangle,  α and β are bigger than γ separately, so their sum is bigger too.