Answer:
3[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Find 'c' first by using the Altitutude Rule:
4/c = c/9
cross-multiply to get:
c = [tex]\sqrt{36}[/tex] or 6
Now you can find 'a' by using the Pythagorean Theorem:
4² + 6² = a²
a = [tex]\sqrt{52}[/tex]
Now you can find 'b' by using the Pythagorean Theorem:
([tex]\sqrt{52}[/tex])² + b² = (9+4)²
52 + b² = 169
b² = [tex]\sqrt{117}[/tex]
b = [tex]\sqrt{117}[/tex] = [tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{13}[/tex]
b = 3[tex]\sqrt{13}[/tex]
