Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.

Step-by-step explanation:

Given:

Length of the sides of the triangle = 2 in , 5 in and 4 in

We know that if a , b and c is sides of the triangle such that c is the longest side then

1). if c² > a² + b² then the triangle is Acute angled.

2). if c² = a² + b² then the triangle is Right angled.

3). if c² < a² + b² then the triangle is Obtuse angled.

Here, a = 2 in , b = 4 in  and c = 5 in

So, c² = 5² = 25

a² + b² = 2² + 4² = 4 + 16 = 20

Clearly c² > a² + b²

Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.

cheater

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.