Question

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. He still needs to cut the longest side. What length must the longest side be in order for the triangle to be acute?
exactly StartRoot 58 EndRoot inches
greater than StartRoot 58 EndRoot inches but less than 10 inches
less than StartRoot 58 EndRoot inches but greater than 7 inches
not enough information given

Answer 1

less than inches but greater than 7 inches

Answer:

property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side

If the triangle is acute triangle  

where, a is the larger side and b,c are the smaller side

According to question, Let a=a , b=7, c=3

Means to be a acute triangle third side must be less than inches but greater than 7 inches.