In the diagram below, PQ is parallel to MN . If MP=25, PQ=18, and MN=33, find the length of PO . Figures are not necessarily dra
1 answer:
Given that triangles MON and POQ are similar triangles, the length of PO is 30 units.
<h3>What are Similar Triangles?</h3>The triangles that are similar to each other will have their corresponding sides proportional to each other.
Given:
MP = 25
PQ = 18
MN = 33
Triangles MON and POQ are similar triangles.
Let PO = x
Therefore:
MN/PQ = MO/PO
Substitute
33/18 = (25 + x)/x
Cross multiply
33x = 18(25 + x)
33x = 450 + 18x
33x - 18x = 450
15x = 450
x = 30
Therefore, given that triangles MON and POQ are similar triangles, the length of PO is 30 units.
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Option C:
Area of the remaining paper = (3x – 4)(3x + 4) square centimeter
Solution:
Area of the square paper = sq. cm
Area of the square corner removed = 16 sq. cm
Let us find the area of the remaining paper.
Area of the remaining paper = Area of the square paper – Area of the corner
Area of the remaining =
=
Using algebraic formula:
Area of the remaining paper = (3x – 4)(3x + 4) square centimeter
Hence (3x – 4)(3x + 4) represents area of the remaining paper in square centimeters.