Question

pythagorean theorem word problems
solve the equation to find the missing side length.
step 6:
be sure to answer the question!
the diagonal is 18.8in.
carefully read and solve each problem.
a 12 foot ladder is leaning against a building. if the base of the ladder is 5 feet away from the building, how high up on the side of the building will the ladder reach? round your answer to the nearest tenth.
base = bottom
$a^2 + b^2 = c^2$
$a^2 + 5^2 = 12^2$
$a^2 + 25 = 144$
$a^2 = 119$
$sqrt{a^2} = sqrt{119}$
$a \approx 10.9$
the ladder will reach 10.9 ft up the side of the building.
the rectangular pool at your swim club is 75 meters long and 40 meters wide. how many more meters will you swim if you go along the edges of the pool rather than diagonally across the pool? round your answer to the nearest tenth.
edges = sides
$40 + 75 = 115$
$a^2 + b^2 = c^2$
$40^2 + 75^2 = c^2$
$1600 + 5625 = c^2$
$7225 = c^2$
multiple-choice question
when you square root 7,225 what do you get as your final answer?
75
65
85
rewatch
submit

Explanation:

Step1: Recall the square root operation

We need to find $\sqrt{7225}$. Let's think about which number squared gives 7225.

Step2: Test possible numbers

We know that $85\times85 = 7225$ (because $80\times80 = 6400$, $85\times85=(80 + 5)\times(80 + 5)=80^{2}+2\times80\times5 + 5^{2}=6400+800 + 25 = 7225$). So $\sqrt{7225}=85$.

Answer:

C. 85 (assuming the options are labeled with C for 85, but based on the given options, the correct one is the option with 85)