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

Answer:

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

Step-by-step 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.

$17^{2}=8^{2}+b^{2}$

$b=\sqrt{225}$

$b=15$

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!