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Chapter 2: Q. 214 (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 hypotenuse is8.6approximately.

Step by step solution

01

Step 1. Given Information

The given triangle is

02

Step 2. Apply Pythagoras Theorem

  • The lengths of the legs of the given triangle are 5 and 7. So, a=5and b=7.
  • Use the Pythagoras theorem a2+b2=c2and solve to find the hypotenuse of the triangle.

52+72=c225+49=c2c2=74c≈8.6

  • So, the length of the hypotenuse is8.6approximately.
03

Step 3. Conclusion

The length of the hypotenuse is8.6approximately.

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