arielstarks15 arielstarks15
  • 29-02-2020
  • Mathematics
contestada

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?

Respuesta :

fayemioluwatomisin
fayemioluwatomisin fayemioluwatomisin
  • 29-02-2020

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.  

Answer Link

Otras preguntas

once a hypothesis is tested an confirmed and then tested again and confirmed again by many others, it may provide the basis for ,or become a part of, a what?
Why were many American surprise from President Johnson support civil rights?
Is it possible for the gravitational force between two 50-kg objects to be less than the gravitational force between a 50 kg object and a 5 kg object? Explain.
Which number sentence is not true
30 points help!!!! Plz
if u=(1+i√3) and v=(1-i√3), what is uv?
A clerk is marking up merchandise 34% the original price of an item is 455 what will be the retail price
Find the weight of a 15kg rock acceleration due to gravity is 9.8 m/s2 A. 5.2 N B. 15 N C. 147 N D. 1.53 N
Which word or phases describes the native people of Mongolia in the twelfth century? A) hunter-gatherers B) farmers C) nomadic herdsmen D) city-dwellers
The impact of McCarthyism helped Republicans win support by