Question

1. what is the perimeter of

△top?

1. x = ____

y = ____

1. z = ____
2. what is the perimeter of

△ten?

1. m = ____

n = ____
p = ____

1. q = ____

Explanation:

Step1: Identify Similar Triangles

In $\triangle TRA$, $PO \parallel RA$, and $P$ and $O$ are midpoints (since $TP = PR = 8$ and $TO = OA = 10$), so $\triangle TOP \sim \triangle TRA$ by Midline Theorem, with scale factor $\frac{1}{2}$.

Step2: Find Sides of $\triangle TOP$

• $TP = 8$, $TO = 10$, and $PO$ is midline, so $PO = \frac{1}{2}RA = \frac{1}{2} \times 20 = 10$.

Step3: Calculate Perimeter

Perimeter of $\triangle TOP = TP + TO + PO = 8 + 10 + 10 = 28$.

Answer:

28