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Maksim231197 [3]
3 years ago
5

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 tria

ngle acute?
Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

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.  

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