Answer:
x = [tex]\sqrt{30}[/tex]
y = [tex]\sqrt{26}[/tex]
z = [tex]\sqrt{195}[/tex]
Step-by-step explanation:
to begin, use the altitude rule to find 'y'
13/y = y/2
y² = 26
y = [tex]\sqrt{26}[/tex]
now, find 'x' by using the pythagorean theorem
2² +[tex]\sqrt{26}[/tex]² = x²
4 + 26 = x²
x = [tex]\sqrt{30}[/tex]
now find 'z' by using the pythagorean theorem again
z² + [tex]\sqrt{30}[/tex]² =(13+2)²
z² + 30 = 225
z² = 195
z = [tex]\sqrt{195}[/tex]
