Question

A²+b²=c² to find the
base of the right triangle.
1600 ft
500 ft

Answer 1

b=1519.87? (If not correct please clarify what sides the 1600 and 500 ft are on. In my answer the 1600 ft was the hypotenuse since it was the longest of the two and it said to find the base of the triangle. This means the 500 ft is the side adjacent to 90 degrees and 1600 ft is the hypotenuse. Sorry if it's not clear!)

Step-by-step explanation:

`500^(2) +b^2=1600^2\\250000+b^2=2560000\\b^2=2560000-250000\\b^2=2310000\\√(b^2)=√(2310000)\\ b=1519.87`

Answer 2

side 2 (
`b^(2)`) = 1519.87

OR

hypotenuse (
`c^(2)`)= 1676.31

Step-by-step explanation:

If 1600 ft = hypotenuse and 500 ft = side

`1600^(2)` =
`500^(2)` +
`b^(2)`

2560000 = 250000 +
`b^(2)`

2560000 - 250000 =
`b^(2)`

2310000 =
`b^(2)`

`√(2310000)` =
`\sqrt{b^(2) }`

`b` = 1519.87

side 2 = 1519.87

OR

If 1600 ft = side 1 and 500 ft = side 2

`1600^(2)` +
`500^(2)` =
`c^(2)`

2560000 + 250000 =
`c^(2)`

2810000 =
`c^(2)`

`√(2810000)` =
`\sqrt{c^(2) }`

`c` = 1676.31

hypotenuse = 1676.31