Question

If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest side of the triangle is _____.

Answer 1

Answer:

Step-by-step explanation:

⇒Use the law of cosines

⇒call the third side "x"

⇒x^2=4^2+7^2-2*4*7*cos20º

⇒x^2=16+49-56*0.93969

⇒x^2=65-52.62264

⇒x^2=12.37736

⇒x=√12.37736

⇒x=3.518 which is the smallest side of the triangle