Welcome back — been a while! Let's pick up where you left off. Step 1: Identify the number of base segments ($n$). The lines originating from the apex divide the base into 5 smaller segments. So, $n=5$. Step 2: Identify the number of horizontal levels ($m$). There are 3 distinct horizontal lines that form bases for triangles (the bottom line, the middle line, and the top line). So, $m=3$. Step 3: Calculate the total number of triangles. The formula for the number of triangles in such a figure is given by: $$ \text{Number of triangles} = \frac{n(n+1)}{2} \times m $$ Substitute the values of $n=5$ and $m=3$: $$ \text{Number of triangles} = \frac{5(5+1)}{2} \times 3 $$ $$ \text{Number of triangles} = \frac{5 \times 6}{2} \times 3 $$ $$ \text{Number of triangles} = \frac{30}{2} \times 3 $$ $$ \text{Number of triangles} = 15 \times 3 $$ $$ \text{Number of triangles} = 45 $$ The total number of triangles in the figure is $\boxed{\text{45}}$. Send me the next one 📸