Given that △TPR and △XPZ are similar triangles, the length of the altitude PY is: 24.
What are Similar Triangles?
Similar triangles have corresponding sides that have the same ratio, i.e. their sides are proportional.
To find PY, we need to know PZ.
Since △TPR ∼ △XPZ, therefore:
TR/XZ = TP/PZ
Substitute
10/20 = 13/PZ
PZ = (13 × 20)/10
PZ = 26
Find PY using Pythagorean theorem:
PY = √(PZ² - YZ²)
PY = √(26² - 10²)
PY = 24
Therefore, given that △TPR and △XPZ are similar triangles, the length of the altitude PY is: 24.
Learn more about similar triangles on:
https://brainly.com/question/11899908
