Question

PLEASE HELP

use the information given in the figure to find the length of TR . IF applicable , round your answer the nearest whole number

Answer 1

Explanation:

first Pythagoras to get PT :

85² = 77² + PT²

7225 = 5929 + PT²

PT² = 1296

PT = 36

second Pythagoras to get ST :

39² = PT² + ST² = 36² + ST²

1521 = 1296 + ST²

ST² = 225

ST = 15

third Pythagoras to get TR :

97² = ST² + TR² = 15² + TR²

9409 = 225 + TR²

TR² = 9184

TR = 95.83318841... ≈ 96