Hello!
You have to use pythagorean theorem since its a right triangle
[tex]c^{2}[/tex] is always opposite to 90 degrees which means its always the hypthenuse. but for the [tex]a^{2}[/tex] and[tex]b^{2}[/tex] it can be any side
1.
formula: [tex]a^{2} +b^{2}= c^{2}[/tex]
=>[tex]19^{2} +9^{2}= x^{2}[/tex]
=>442=[tex]x^{2}[/tex]
=> [tex]\sqrt{442} =\sqrt{x^{2} }[/tex]
=>21.02
2.
=>[tex]a^{2} +6^{2}= 24^{2}[/tex]
=>[tex]a^{2} +36=576[/tex]
=>[tex]\sqrt{a^{2} } =\sqrt{540}[/tex]
=>23.23
3.
=>[tex]a^{2} +6^{2}= 10^{2}[/tex]
=>[tex]a^{2} +36=100[/tex]
=>[tex]\sqrt{a}^{2}=\sqrt{ 64 }[/tex]
=>8
Hope i helped! c:
