The area of the right triangle =

b = base = SV = 12.3
h = hight = HL = 24.6
A = area

Answer:
1. yes
2, no
3. yes
4. yes
Step-by-step explanation:
1. yes
If both sets of opposite sides are congruent, the quadrilateral is a parallelogram.
2. no
We know two side lengths. We know nothing about the other 2 sides and also nothing about all 4 angles.
3. yes
The missing angle must be 102°. With both pairs of opposite angles congruent, it must be a parallelogram.
4. yes
With both pairs of opposite angles congruent, it must be a parallelogram.
Answer:
5
Step-by-step explanation:
1. Answer (D). By the law of sines, we have
in any 
2. Answer (C). The law of cosines,
accepts up to three sides and an angle as an input.
3. Answer (D). Although this triangle is right, we are not given enough information to uniquely determine its sides and angles - here, we need either one more side or one more angle.
4. Answer (D). Don't get tripped up by answer choice (C) - this is just a rearrangement of the statement of the law of cosines. In choice (D), the signs of
and
are reversed.
5. Answer (B). By the law of sines, we have
Solving gives
Note that this is the <em>ambiguous (SSA) case</em> of the law of sines, where the given measures could specify one triangle, two triangles, or none at all!
6. Answer (A). Since we know all three sides and none of the angles, starting with the law of sines will not help, so we begin with the law of cosines to find one angle; from there, we can use the law of sines to find the remaining angles.