Answer:
The coordinates of M are (2,-8)
Step-by-step explanation:
The coordinates of the point that divides the line segment joining
to
in the ratio m:n is given by:
If A is at (-4,-2) and B is at (4. -10) and the ratio is 3:1.
Then
The coordinates of M are (2,-8)
MO = 12 and PR = 3
Solution:
Given .
Perimeter of ΔMNO = 48
Perimeter of ΔPQR = 12
MO = 12x and PR = x + 2
<em>If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of perimeter of the triangles.</em>
Do cross multiplication.
Subtract 48x from both sides.
Divide by 96 on both sides, we get
⇒ 1 = x
⇒ x = 1
Substitute x = 1 in MO an PR.
MO = 12(1) = 12
PR = 1 + 2 = 3
Therefore MO = 12 and PR = 3.