Option 4: 15 m is the right answer.
Step-by-step explanation:
We can see that given triangle is a right-angled triangle so we can use Pythagoras theorem to find the length of missing side.
given
Hypotenuse = H = 25 m
Base = B = 20 m
Perpendicular = P = ?
Pythagoras theorem is given by:
[tex]H^2 = B^2+P^2\\(25)^2 = (20)^2 + P^2\\P^2 = (25)^2 - (20)^2\\P^2 = 625 - 400\\P^2 = 225[/tex]
Taking square root on both sides
[tex]\sqrt{P^2} =\sqrt{225}\\P = 25[/tex]
Hence,
The length of unknown leg in given triangle is 15 meters
Keywords: Pythagoras theorem, triangle
Learn more about right-angled triangle at:
- brainly.com/question/6569012
- brainly.com/question/6541303
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