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2 years ago

What is the length of the third side of the window frame below?

Mathematics

2 answers:

deff fn [24]2 years ago

7 0

A^2+b^2=c^2
42^2+b^2=58^2
1764+b^2=3364
b^2=3364-1764
b^2=1600
square root b^2=square root 1600
b=40 inches

Artist 52 [7]2 years ago

7 0

Answer:

Option A. 16 inches

Step-by-step explanation:

Since in a right angle triangle Pythagoras theorem is applicable.

Base² + height² = Hypotenuse²

In the given window frame height = 42 inches and hypotenuse = 58 inches

Therefore by Pythagoras theorem

58² = 42² + Base²

Base² = 58² - 42² = 3364 - 1764 = 1600

Base = √1600 = 40 inches

Therefore Option A. 40 inches is the answer.

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