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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

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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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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