Answer:
15 inches
Step-by-step explanation:
The longest side of the right triangular window frame is 39 inches
The height is 36 inches
Let the base of the window frame be x inches
So according to Pythagoras theorem,
x² + 36² = 39²
x² = 39² - 36² = 225
x = [tex]\sqrt{225}[/tex] = 15 inches
The third side of the window frame is therefore equal to 15 inches.
The length of the third side of the window frame will be 15 inches. Then the correct option is A.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The longest side has a length labeled as 39 inches. The height of the frame is labeled as 36 inches.
Let x be the length of the third side of the window frame. Then we have
39² = x² + 36²
x² = 39² - 36²
x² = 1521 - 1296
x² = 225
x = 15 inches
Then the correct option is A.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
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