Find the measure of the largest angle in abc if a = 12, b = 8 and c = 13.

78.28023969=C

Step-by-step explanation:

The largest angle is opposite the largest side so C would be the largest angle.

We can find C using the law of cosines

c^2 = a^2 + b^2 -2ab cosC

13^2 = 12^2 +8^2 -2*12*8cosC

169 = 144 +64 - 192 cos C

Combine like terms

169 =208 - 192 os C

Subtract 208 from each side

-39 = -192 cos C

Divide by -192

-39/-192 = cos C

Take arccos of each side

acrcos (39/192) = arccos (cos C)

arccos (39/192) = C

78.28023969=C

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

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 .