Question
Download Solution PDFചിത്രത്തിൽ, ∠BAC = ∠BCD, AB = 32 സെ.മീ., BD = 18 സെ.മീ. എന്നിങ്ങനെ ആണെങ്കിൽ BC വശത്തിന്റെ നീളം കണ്ടെത്തുക.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFതന്നിരിക്കുന്നത്:
∠BAC = ∠BCD, AB = 32 സെ.മീ., BD = 18 സെ.മീ.
ആശയം:
രണ്ട് ത്രികോണങ്ങൾ സമാനമാണെങ്കിൽ, ബന്ധപ്പെട്ട വശങ്ങളുടെ അനുപാതം തുല്യമായിരിക്കും.
കണക്കുകൂട്ടൽ:
ത്രികോണം ABC, CBD എന്നിവയിൽ;
∠BAC = ∠BCD
∠B പൊതുവായതാണ്
അതിനാൽ, ത്രികോണങ്ങൾ ABC, CBD എന്നിവ, AA സാദൃശ്യം അനുസരിച്ച് സമാനമാണ്.
∴ AB/CB = BC/BD
⇒ BC2 = 32 × 18 = 576
∴ BC 24 സെ.മീ. ആണ്.
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