Question

Help please

What is the value of b?

Answer 1

3
`√(13)`

Explanation:

Find 'c' first by using the Altitutude Rule:

4/c = c/9

cross-multiply to get:

c =
`√(36)` or 6

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

4² + 6² = a²

a =
`√(52)`

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

(
`√(52)`)² + b² = (9+4)²

52 + b² = 169

b² =
`√(117)`

b =
`√(117)` =
`√(3)`
`√(3)`
`√(13)`

b = 3
`√(13)`