Question

9th grade geometry question

Answer 1

\(AB\) is the smallest side .
\(CD\) is the longest side.
Show that \(1.)\quad \angle A>\angle C\\2.)\quad \angle B>\angle D\)

Answer 2

@amistre64

Answer 3

@phi

Answer 4

what have you been studying ? Hopefully have some hint on how to do this one ?
(because I don't yet)

Answer 5

yes

Answer 6

question doesnt have any hint

Answer 7

no, I was asking what have you been studying?
either theorems of triangles or using Law of Cosines?

Answer 8

it is related to triangle inequality theorem and the theorem which says that in a triangle a longest side is the side opposite to the largest angle

Answer 9

\(\bf \text{ Triangle inequality theorem}\):sum of two side are always greater than the third side.