Solve the right triangle with the given sides and angles.
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Solve the right triangle with the given sides and angles.

[From: ] [author: ] [Date: 13-11-05] [Hit: ]
6°, β=50.4°, c=4.B) α=56.0°,......
Solve the right triangle with the given sides and angles.
a=3.5, b=2.9

A) α=39.6°, β=50.4°, c=4.5
B) α=56.0°, β=34.0°, c=6.4
C) α=50.4°, β=39.6°, c=4.5
D) α=49.9°, β=44.1°, c=4.5

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In a right angle triangle, h^2 = p^2+b^2 where h is the hypoteneous; p = perpendicular side and b is the base side.
Given; a = 3.5; b = 2.9 then (using the above formula) =>c = 4.5
Since option B) has c = 6.4 hence not a correct answer hence eliminated..
Also since the sum of the any triangle is 180 deg. and specially it is a right angled triangle then the sum of the given angles should also be equal to 90 deg
A) α=39.6°, β=50.4°, c=4.5 (39.6 + 50.4) = 90 deg
C) α=50.4°, β=39.6°, c=4.5 (50.4 + 39.6) = 90 deg
D) α=49.9°, β=44.1°, c=4.5 (49.9 + 44.1) = 94 deg
So, the ANS is option A) and C)
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