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Chapter 2: Q. 208 (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 remaining leg of the given triangle is 15.

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 the legs of the triangle is 8. So, a=8.
  • The length of the hypotenuse is 17. So, c=17.
  • Apply Pythagoras theorem, a2+b2=c2.

82+b2=17264+b2=289b2=225b=15

  • So, the length of the remaining leg of the given triangle is 15.
03

Step 3. Conclusion

The length of the remaining leg of the given triangle is 15.

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