If ta=3cm and ot=6cm, find tg
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TG = 12 cm if ta=3cm and ot=6cm in given figure
Step-by-step explanation:
TA = 3 cm
OT = 6 cm
AT² = OT² - TA²
=> AT² = 6² - 3²
=> AT² = 27
=> AT = 3√3
in ΔTAO & Δ TOG
∠T = ∠T common
∠TAO = ∠TOG
=> ∠TOA = ∠TGO
ΔTAO ≈ Δ TOG
=> TA/TO = TO/TG = AO/OG
=> TA/OT = OT/TG
=> TG = OT²/TA
=> TG = 6²/3
=> TG = 12 cm
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