Which of the following conditions produces a
unique triangle?
a. a triangle with angles that have a measure of
20° and 110° with an included side of 7 inches,
b. a triangle with sides of length 4 feet and 3 feet
with a non-included angle that measures 70°.
c. a triangle with a 25° angle, an 85°angle, and a
60° angle.
d. a triangle with a 14° angle, a 31° angle, and a
135° angle.

a

Step-by-step explanation:

A triangle with angles that have a measure of

20° and 110° with an included side of 7 inches,

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

oof cheaters cheat because they’re lazy that’s why i cheat xd

: )

step-by-step explanation: