Question

(d) problem 16: (first taught in lesson 49) from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: ( mangle sdk>mangle skd ) prove: ( ks > ds )

Explanation:

In a triangle, the side opposite the larger angle is longer. Here, in triangle \(SDK\), \(\angle SDK\) and \(\angle SKD\) are angles, and \(KS\) is opposite \(\angle SDK\), \(DS\) is opposite \(\angle SKD\). Since \(m\angle SDK>m\angle SKD\), by the theorem that if unequal angles (in a triangle), then unequal sides (the side opposite the larger angle is longer), we can justify \(KS > DS\).

Answer:

A. If Unequal Angles, then Unequal Sides