What is the length of the third side of the window frame below?
2 answers:
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
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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