Question

Hi! Can someone help me with the phytagorean theorem find the length of the hypotenuse and find the distance between two points. Thank you!

Answer 1

Photo 1=

According Pythogras Theorem,

Hypotenuse^2= Perpendicular^2 + Base^2

H^2 = 6 ^2 + 5 ^2

H ^2= 36 + 25

H ^2= 61


H= 7.81

Answer 2

Photo 1

Answer:

`\\c = √(61)`

Explanation:

The pythagorean theorem is
`a^(2) + b^(2) = c^(2)`

So if we plug in the other lengths it will be
`5^(2) + 6^(2) = c^(2)`

Now we have to find the value of
`c`

`25 + 36 = c^(2)`

`√(61) = \sqrt{c^(2)}`

`\\c = √(61)`

Photo 2

Answer:

`13`

Explanation:

Use the distance formula;
`\sqrt{(x_(2) - x_(1))^(2) + {(y_(2) - y_(1))^(2)`

So if we plug in the other lengths it will be
`\sqrt{(8 - 3)^(2) + (7 - (-5))^(2)`

Then we simplify and get
`13`