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Chapter 2: Q. 209 (page 145)

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 unknown leg of the given triangle is 12.

Step by step solution

01

Step 1. Given Information

The given triangle is

02

Step 2. Apply Pythagoras theorem

  • In the given triangle, the length of one of the legs is 5. So, a=5.
  • The length of the hypotenuse is 13. So, c=15.
  • Substitute the values into the Pythagoras Theorem, a2+b2=c2 and solve for the unknown variable b.

52+b2=13225+b2=169b2=144b=12

  • So, the length of the unknown leg is 12.
03

Step 3. Conclusion

The length of the unknown leg is 12.

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