Question

Find x and decide if that side (with the x) is an Altitude

Use a Pythagorean Triple to find x.
1.
45
2.
8
24
3.
4.
28
96

Answer 1

1. b = 15
2. c = 51
3. c = 100
4. b = 25.75

Explanation:

Using the Pythagoras theorem equation:

`c^(2)=a^(2)+b^(2)`

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.

1) Here c = 17, a = 8 and b = ?

Then, using the above equation we can find the side b.

`17^(2)=8^(2)+b^(2)`

`b=√(225)`

`b=15`

2) Here a = 24, b = 45 and c = ?

`c=\sqrt{24^(2)+45^(2)}`

`c=51`

3) Here a = 28, b = 96 and c = ?

`c=\sqrt{28^(2)+96^(2)}`

`c=100`

4) Here a = 17, b = ? and c = 28

`b=\sqrt{28^(2)-11^(2)}`

`b=25.75`

Just in the 4 case x is an altitude.

I hope it helps you!