Question

In the following exercises, use the Pythagorean theorem to find the length of the leg. Round to the nearest tenth if necessary.

Short answer

The length of the hypotenuse is$8.5$approximately.

Step-by-step solution

Step 1. Given Information 

The given triangle is

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.

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

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

Step 3. Conclusion

The length of the hypotenuse is$8.5$approximately.