In a right-angled triangle, the hypotenuse is four times as long as the perpendicular drawn to it from the opposite vertex. One of the acute angle, is
Text Solution
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Let the length of the perpendicular drawn to the hypotenuse be 
. The hypotenuse is then 
.
The area of the right-angled triangle can be expressed in two ways using its acute angle 6.
Using Hypotenuse and Perpendicular Height:
Using the Sides expressed in terms of 
:
The two perpendicular sides are 
and 
Equating the two area equations
Since 
is an acute angle, 
(the other acute angle is 
).
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