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Chapter 2: Q. 212 (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 hypotenuse is8.5approximately.

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 triangle are 6 and 6. So, a=6and b=6.
  • Substitute the values in the equation of the Pythagoras theorem, a2+b2=c2and solve for the unknown variable.

62+62=c236+36=c2c2=72c鈮�8.5

  • So, the length of the hypotenuse is8.5approximately.
03

Step 3. Conclusion

The length of the hypotenuse is8.5approximately.

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