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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

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 is $8.5$ approximately.

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, $a = 6$ and $b = 6$ .
Substitute the values in the equation of the Pythagoras theorem, $a^{2} + b^{2} = c^{2}$ and solve for the unknown variable.

$6^{2} + 6^{2} = c^{2} 36 + 36 = c^{2} c^{2} = 72 c \approx 8.5$

So, the length of the hypotenuse is $8.5$ approximately.

03

Step 3. Conclusion

The length of the hypotenuse is $8.5$ approximately.

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