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Chapter 2: Q. 213 (page 146)

In the following exercises, use the Pythagorean theorem to find the length of the leg. Round to the nearest tenth if necessary.

Short Answer

Expert verified

The length of the second leg is9.8.

Step by step solution

01

Step 1. Given Information 

The given triangle is

02

Step 2. Apply Pythagoras theorem

  • The length of the hypotenuse of the given triangle is 11. So, c=11.
  • The length of one of the other two legs is 5. So, a=5.
  • Apply the Pythagoras theorem, a2+b2=c2and solve to find the value of the unknown leg.

52+b2=11225+b2=121b2=96b≈9.8

  • So, the length of the second leg is9.8.
03

Step 3. Conclusion

The length of the second leg is9.8.

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