Suppose a triangle has two sides of length 42 and 35, and that the angle between these two sides is 120°. Which equation should you solve to find the length of the third side of the triangle?

D is the correct answers

Step-by-step explanation:

If we know two sides and an included angle of any triangle, we can use law of cosines to find the unknown length of the third side

see explanation

Step-by-step explanation:

let the two consecutive odd numbers be n and n + 2 , then

n + n + 2 = 148 , collect like terms

2n + 2 = 148 ( subtract 2 from both sides )

2n = 146 ( divide both sides by 2 )

n = 73

n + 2 = 73 + 2 = 75

The 2 numbers are 73 and 75

let width be w then length = 2w - 6

The perimeter (P) is calculated as

P = 2(width + length) , then

2(w + 2w - 6) = 54 ( divide both sides by 2 )

w + 2w - 6 = 27 , collect like terms

3w - 6 = 27 ( add 6 to both sides )

3w = 33 ( divide both sides by 3 )

w = 11

2w - 6 = 2(11) - 6 = 22 - 6 = 16

length = 16 in and width = 11 in