jaazyashai274 jaazyashai274
  • 11-02-2019
  • Mathematics
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A leg of a right triangle is 30 meters long, and the hypotenuse is 35 meters long. What is the length of the other leg​

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boffeemadrid
boffeemadrid boffeemadrid
  • 20-02-2019

Answer:

Length of the other leg=18.02 meters.

Step-by-step explanation:

Given: A leg of a right triangle is 30 meters long, and the hypotenuse is 35 meters long.

To find: The length of the other leg​.

Solution: Let ΔABC be right angled triangle, then using the Pythagoras theorem, we get

[tex](AC)^{2}=(AB)^{2}+(BC)^2[/tex]

⇒[tex](35)^{2}=(30)^{2}+(BC)^2[/tex]

⇒[tex]1225=900+(BC)^2[/tex]

⇒[tex]325=(BC)^2[/tex]

⇒[tex]BC=18.02 meters[/tex]

Thus, the length of the other leg=18.02 meters.

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