C is the midpoint of AD. B is the midpoint of AC. BC = 12. What is the length of AD
2 answers:
Answer:
AD = 48
Step-by-step explanation:
C is the midpoint of AD. B is the midpoint of AC. BC = 12.
Let's draw the line segment using the given information.
BC = 12
C is the midpoint AD so C divides the line segment AD into two halves.
B is the midpoint of AC so B divided the line segment AC into two halves.
So, AB = BC
AB = 12
Now let's find AC.
AC = AB + BC
AC = 12 + 12
AC = 24
AD = AC + CD
C divides AD into two halves. So AC = CD = 24
Therefore, AD = AC + CD
AD = 24 + 24
AD = 48
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Answer:
x = 7.5
Step-by-step explanation:
Dilation is a transformation in which the size of a given figure is either increased or decreased by a scale factor.
Given that the length of sides of the smaller triangle are; 5, 13, 12.
Given also that the length of the dilated triangle are; x, blank, 18.
Comparing the length of the last sides of the two triangles, we have;
(scale factor x 12) + 12
= ( x 12) + 12
= 6 + 12
= 18
Thus the scale factor for the dilation is . So that:
x = ( x 5) + 5
= 2.5 + 5
= 7.5
x = 7.5
And also,
blank = ( x 13) + 13
= 6.5 + 13
blank = 19.5
Therefore, the length of the sides of dilated triangle are: 7.5, 19.5, 18