Triangle LMN has side lengths of 18.5 inches, 10 inches, and 15.5 inches. Use the Converse of the Pythagorean Theorem to prove that triangle LMN is not a right triangle. Drag the numbers to order the proof.
1 2 3 4 5
340 = 342.25
102 + 15.52 ?= 18.52
a2 +b2 = 18.52
100 + 240.25 = 342.5
Therefore, triangle LMN is not a right triangle.​

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°