In ARST, the altitudes of the triangle intersect at a point in the interior of the triangle. The lengths of the sides of ARST are RS = 14, ST = 15, and TR = 13. а) If TX 12, find RX and XS. (HINT: Use the Pythagorean Theorem.) b) If RY 168 find TY and YS. 15 c) If SZ 168 find ZR and TZ. 13 > d) Use results from parts (a), (b), and (c) to show that RX SY TZ XS YT ZR 1. Y R S

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.4: The Angles Of A Triangle
Problem 8E: In Exercises 7 and 8, classify the trianglenot shown by considering the lengths of its sides. a In...
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In ARST, the altitudes of the triangle intersect at a point
in the interior of the triangle. The lengths of the sides of
ARST are RS = 14, ST = 15, and TR = 13.
а) If TX
12, find RX and XS.
(HINT: Use the Pythagorean Theorem.)
b) If RY
168
find TY and YS.
15
c) If SZ
168
find ZR and TZ.
13 >
d) Use results from parts (a), (b), and (c) to show that
RX SY TZ
XS YT ZR
1.
Y
R
S
Transcribed Image Text:In ARST, the altitudes of the triangle intersect at a point in the interior of the triangle. The lengths of the sides of ARST are RS = 14, ST = 15, and TR = 13. а) If TX 12, find RX and XS. (HINT: Use the Pythagorean Theorem.) b) If RY 168 find TY and YS. 15 c) If SZ 168 find ZR and TZ. 13 > d) Use results from parts (a), (b), and (c) to show that RX SY TZ XS YT ZR 1. Y R S
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