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Answer (3)
L oo k a t t h e p i c t u re . Δ QRS ∼ Δ U V T i f ∣ U V ∣ ∣ QR ∣ = ∣ V T ∣ ∣ RS ∣ ∣ U V ∣ ∣ QR ∣ = 18 8 = 9 4 ∣ V T ∣ ∣ RS ∣ = 34 16 = 17 8 A n s w er : A . N o , t h e t r ian g l es a re n o t s imi l a r .
Triangle QRS is not similar to triangle UVT because the ratios of their corresponding sides are not equal, even though they have one equal angle. The comparison of the sides shows differing ratios. Thus, the answer is A: No, the triangles are not similar.
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