List the angles in triangle QRS from smallest to largest.
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Answer:
angle R
Step-by-step explanation:
To solve this we will use cosine rule
Cosine rule
cos(A) = [tex]\frac{b^{2}+c^{2}-a^{2}}{2bc}[/tex]
suppose,
q = 6.25
s = 11.04
r = 13.19
angleQ = [tex]cos^{-1}(\frac{13.19^{2}+11.04^{2}-6.52^{2}}{2(13.19)(11.04)})[/tex]
= 30.58
angleR = [tex]cos^{-1}(\frac{6.52^{2}+11.04^{2}-13.19^{2}}{2(6.52)(11.04)})[/tex]
= 93.82
angleS = [tex]cos^{-1}(\frac{6.52^{2}+13.19^{2}-11.04^{2}}{2(6.52)(13.19)})[/tex]
= 56.63