Atriangle has two sides that measure 0.5 meters and 1.5 meters. which could be the measure of the third side?

a. 1.3 m
b. 1 m
c. 2 m
d. 3 m

Step-by-step explanation:

The third side of a triangle x, should be more than the difference between given two sides, and less than the sum.

                x > (1.5 - 0.5)

                x > 1

Also:

                  x < (1.5 + 0.5)

                  x < 2

                            1 < x < 2

x could be 1.1m, 1.2m, 1.3m, 1.4m, 1.5m, 1.6m, 1.7m, 1.8m, 1.9m.

It could be any of them but from the choices that you provided, the answer will be 1.3 m

-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