Question

Help please What is the value of b?

Answer 1

Answer:

3$\sqrt{13}$

Step-by-step explanation:

Find 'c' first by using the Altitutude Rule:

4/c = c/9

cross-multiply to get:

c = $\sqrt{36}$ or 6

Now you can find 'a' by using the Pythagorean Theorem:

4² + 6² = a²

a = $\sqrt{52}$

Now you can find 'b' by using the Pythagorean Theorem:

($\sqrt{52}$)² + b² = (9+4)²

52 + b² = 169

b² = $\sqrt{117}$

b = $\sqrt{117}$ = $\sqrt{3}$$\sqrt{3}$$\sqrt{13}$

b = 3$\sqrt{13}$