Question

1. find the length of the hypotenuse. round your answer to the nearest hundredth. 11. △wkb is shown where wk = 8 and wb = 4. find the exact length of (overline{bk}). 12. a community is building a square park with sides that measure 80 meters. to separate the picnic area from the play area, the park is split by a diagonal line from opposite corners. determine the approximate length of the diagonal line to the nearest meter.

Explanation:

Step1: Apply Pythagorean theorem for question 10

$c=\sqrt{5^{2}+12^{2}}=\sqrt{25 + 144}=\sqrt{169}=13$

Step2: Apply Pythagorean theorem for question 11

$BK=\sqrt{WK^{2}-WB^{2}}=\sqrt{8^{2}-4^{2}}=\sqrt{64 - 16}=\sqrt{48}=4\sqrt{3}$

Step3: Apply Pythagorean theorem for question 12

$d=\sqrt{80^{2}+80^{2}}=\sqrt{2\times80^{2}} = 80\sqrt{2}\approx113$

Answer:

1. 13
2. $4\sqrt{3}$
3. 113