The sides of a triangle have length x, x + 4, and 20. if the length of the longest side is 20, which value of x would make the triangle acute?
8
10
12
14

The value of x is 14.

Step-by-step explanation:

Given the sides of a triangle have length x, x + 4, and 20. If the length of the longest side is 20 we have to find the value of x that would make the triangle acute.

For an acute angled triangle, the square of the LONGEST side must be less than the sum of squares of the other two sides.

As given longest side is 20

∴

⇒

⇒

⇒

The above condition only satisfied by the 4 value of x i.e 14

Hence, answer is 14.

c.

step-by-step explanation:

substitution for (0,1)

y=x^2+4x+1

1=0^2+4(x)0+1

1=0+4(x)0+1

1=4(x)0+1

1=0+1

1=1

substitution for (-3,-2)

y=x+1

-2=-3+1

-2=-2