For a triangle `ABC, R = (5)/(2) and r = 1`. Let D, E and F be the feet of the perpendiculars from incentre I to BC, CA and AB, respectively. Then the

Question

For a triangle `ABC, R = (5)/(2) and r = 1`. Let D, E and F be the feet of the perpendiculars from incentre I to BC, CA and AB, respectively. Then the

For a triangle `ABC, R = (5)/(2) and r = 1`. Let D, E and F be the feet of the perpendiculars from incentre I to BC, CA and AB, respectively. Then the value of `((IA) (IB)(IC))/((ID)(IE)(IF))` is equal to _____

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 10
`((IA)(IB)(IC))/((ID)(IE)(IF)) = ((r "cosec"(A)/(2)) (r "cosec"(B)/(2)) (r "cosec"(C)/(2)))/(r^(3))`
`= (1)/("sin"(A)/(2) "sin"(B)/(2) "sin"(C)/(2)) = (4R)/(r) = 10`

7 views Answered 2023-02-05 15:29