Question

the lengths of the sides of a triangle are 4n, 2n+10, and 7n-15. is there a value of n that makes the trangle equilateral? explain. Wouldn't the angles have to equal 180, so it couldn't be n=5?

Answer 1

equilatral
equi-equal
lateral-side

sides have to be equal
therefor
4n=2n+10=7n-15
minus 2n from everybody
2n=10=5n-15

2n=10
divide 2
n=5
see if that works
10=5n-15
10=5(5)-15
10=25-15
10=10
true

n=5

yha