Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If in a right angled triangle the hypotenuse is four times as long as the perpendicular drawn to it from opposite vertex, then one of its acute angle is
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
If x is length of perpendicular drawn to it from opposite vertex of a right angled triangle,
So, length of diagonal 
.....(i)
From 
From 
, 
Put the values in equation (i), then
.....(ii)
Length of hypotenuse = 4 (length of perpendicular)
∴ ∴ 
⇒ ⇒ 
or 
.
Trick : 
⇒ ⇒ 
.
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