Answer:
8 and 12
Step-by-step explanation:
Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means
AC/AB = CD/BD = 2/3
The perimeter is the sum of the side lengths, so is ...
25 = AB + BC + AC
25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.
20 = 5/3·AB
12 = AB
AC = 2/3·12 = 8
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<em>Alternate solution</em>
The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.
That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).
Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).
The remaining sides of the triangle are AB=12 and AC=8.
Answer:
Last Option
Step-by-step explanation:
We have a triangle and we know its three sides.
We want to find one of your anguos. Then we use the cosine theorem.
Where
Now we solve for x from the equation
Answer:
slope: ½
y-intercept: -4½
Step-by-step explanation:
Slope: negative reciprocal of -2
-1/-2 = 1/2
y = ½x + c
-6 = ½(-3) + c
-6 = -3/2 + c
c = -6 + 3/2
c = -9/2 = -4½
23÷34 = 0.6764705882352941. totally answer