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Thursday, September 12, 2019

How to find all angles & all sides in a triangle

HYP = 17
OPP = 12
ADJ = ? 
Ө = ?

Proof
S = O/H    C =A/H    T = O/A
To calculate the angle we can use:
SinӨ= OPP/HYP
SinӨ= 12/17
SinӨ= 0.7
To change the angle to degrees I am going to use:
Sin - 1 0.7 = 44.4°

All angles in a triangle must equal to 180°
Ө1 + Ө2 + Ө3 = 180°
Ө1 = 44.4°
Ө2 = ?
Ө3 = 90°

44.4° + ? + 90° = 180

44.4° + 45.6° + 90° = 180
Ө2 = 45.6°





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