In triangle qrs, angle q measures 33.7°, angle r measures 52.3°, and angle s measures 94°. based on the information that is provided, which could be a correct set of sides for this set of angles?
side qr = 7 cm , side rs = 10 cm , side qs = 12.6 cm
side qr = 10 cm, side rs = 7 cm, side qs = 12.6 cm
side qr = 12.6 cm, side rs = 10 cm, side qs = 7 cm
side qr = 12.6 cm, side rs = 7 cm, side qs = 10 cm

Option (d): side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm

Step-by-step explanation:

In a triangle, we have two Relationships between sides and interior angles in a triangle. i.e.

   2. And, the longest interior angle is always opposite to largest side of a triangle.

Since, In given triangle longest angle is ∠S = 94°

So it must be opposite to the side QR and side QR must be largest side.

Hence, side QR = 12.6 cm.

Now, the smallest angle is ∠Q = 33.7°

So it must be opposite to the side RS and side RS must be smallest side.

Hence, side RS = 7 cm.

As we see only option (d) is matching above situation.

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 .