Suppose you are given information about a triangle according to SSS, SAS, and ASA. For which of these can you immediately use the Law of Cosines to find one of the remaining measuress

If you're only allowed one answer, then I'd say the best answer is SAS. If multiple answers are allowed, then SSS can be included.

Explanation:

With SSS, you can use the law of cosines to find any or all of the three angles. You'll have to do a bit of algebra to isolate the angle.

With SAS, you can use the law of cosines

Law of cosines

c^2 = a^2+b^2 - 2ab*cos(C)

we have 'a' and 'b' as the two sides, with C as the included angle (it is between sides 'a' and 'b')

Don't forget to apply the square root to both sides to fully isolate the missing side c.

You cannot use the law of cosines with ASA. There isn't enough information. However, you can use the law of sines to figure out the other side lengths. Keep in mind that you'll need to determine the third missing angle first.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .