Respuesta :
Hello,
Al 'Kashi theorem says:
a²=4²+7²-2*4*7*cos 20°=12.37721...
==>a=3.518126381...≈3.5 ==>False.
Al 'Kashi theorem says:
a²=4²+7²-2*4*7*cos 20°=12.37721...
==>a=3.518126381...≈3.5 ==>False.
Answer:
The answer is False
Step-by-step explanation:
we know that
Applying the law of cosines, find the length of the third side of the triangle
[tex]c^{2}= a^{2}+b^{2}-2abcos(C)[/tex]
In this problem we have
[tex]a=4\ units, b=7\ units, C=20\°[/tex]
substitute the values and solve for c
[tex]c^{2}= 4^{2}+7^{2}-2*(4*7)*cos(20\°)[/tex]
[tex]c= 3.5\ units[/tex] -------> smallest side of the triangle
therefore
[tex]3.5\neq 3.2[/tex]