The side 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?

12∠x∠16

Step-by-step explanation:

For the triangle to be acute,a²+b²+c²,

Where c is the largest side of the triangle.  

Hence, we must say x²+(x+4)²≥20²,  

or after simplifying, x²+4x-192≥0 or (x+16)(x-12)≥0

Since x must have positive values only, x≥12

Therefore, for the triangle to be acute,we must have 12≤x≤16.  

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: