Answer :
Option C: Less than [tex]\sqrt58\\[/tex] inches but greater than 7 inches
Ramon wants to make an acute triangle with three pieces of wood. So far,
he has cut wood lengths of 7 inches and 3 inches.
What length must the longest side be in order for the triangle to be acute?
According to the property of triangle,
If the square of larger side of triangle is equating to the sum of square of smaller side.
If [tex]a^{2} < b^{2}+c^{2}[/tex] the triangle is acute triangle.
where, 'a' is the larger side and 'b' ,'c' are the smaller side
According to the question, Let a =a , b = 7, c = 3
[tex]a^{2} < 7^{2}+3^{2}\\ a^{2} < 49+9\\ a < \sqrt58[/tex]
Means to be acute triangle third side must be less than [tex]\sqrt58[/tex] inches but greater than 7 inches.
Learn more about the triangle is acute triangle
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