What statement and about what figure??
4 * 10 = 40
5 * 10 = 50
6 * 10 = 60
The side length of the original large triangle are 40 feet, 50 feet, and 60 feet.
9514 1404 393
Answer:
A. √13
Step-by-step explanation:
You can make an educated guess and come to the right conclusion.
The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.
So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:
__
A -- between 3 and 4, the correct choice
B -- 3, too short
C -- 1.73, too short
D -- more than 4, too long
__
The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.
c = √(a^2 +b^2 -2ab·cos(C))
c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)
c = √13 . . . . . length of the side opposite the 60° angle
|a| = -a if a < 0
The absolute value and the opposite of rational number is equal when a number is negative.
Examples:
|-7| = - (-7) = 7
|-0.5| = - (-0.5) = 0.5