Given: AGRA is a right triangle with ZGRA as right angle, GA as the hypotenuse and RY is the altitude to the hypotenuse of AGRA. G A Prove: AGRA ~ ARYG ~ ARYA Y Proof: Statement Reason GRA is a right triangle with ZGRA as right angle, GA as the hypotenuse and RY as the altitude to the hypotenuse of AGRA. RY I GA 1. 2. ZRYG and

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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R
Given: AGRA is a right triangle with
ZGRA as right angle, GA as the hypotenuse
and RY is the altitude to the hypotenuse of
AGRA.
A
Prove: AGRA ~ ARYG ~ ARYA
Y
Proof:
Statement
Reason
GRA is a right triangle with ZGRA as
right angle, GA as the hypotenuse and
RY as the altitude to the hypotenuse
of AGRA.
RY L GΑ
1.
2.
ZRYG and <RYA are right angles
ZRYG = ZRYA = ZGRA
ZYGR = ZRGA ; ¿YAR = ZRAG
:: AGRA ~ ARYG - ARYA
3.
4.
5.
6.
Transcribed Image Text:R Given: AGRA is a right triangle with ZGRA as right angle, GA as the hypotenuse and RY is the altitude to the hypotenuse of AGRA. A Prove: AGRA ~ ARYG ~ ARYA Y Proof: Statement Reason GRA is a right triangle with ZGRA as right angle, GA as the hypotenuse and RY as the altitude to the hypotenuse of AGRA. RY L GΑ 1. 2. ZRYG and <RYA are right angles ZRYG = ZRYA = ZGRA ZYGR = ZRGA ; ¿YAR = ZRAG :: AGRA ~ ARYG - ARYA 3. 4. 5. 6.
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