Question

determining the number of possible triangles
how many distinct triangles can be formed for which $m\angle x = 51^\circ$, $x = 5$, and $y = 2$

• zero
• one
• two

Explanation:

Step1: Recall the SSA triangle rule

For a triangle with angle $\angle X$, side $x$ (opposite $\angle X$), and side $y$: if $x > y$, only 1 triangle exists.

Step2: Compare given side lengths

Given $x=5$, $y=2$. Since $5 > 2$, the condition is satisfied.

Answer:

one