A 10-foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the base of the wall, as shown below.
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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.
Learn more about similar triangles on:
Answer:
Step-by-step explanation:
1. A square has four sides and all the sides have equal length.
2. Keeping this on mind, you must multply the lenght given in the problem by 4, as you can see below:
3. Therefore, the polynomial expresion that represents the perimeter of the square is .