Question

This assignment is hard as heck lol!

Answer 1

z = 3
`√(13)`

Explanation:

Using the altitude- on- hypotenuse theorem

( leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

z² = 9 × (9 + 4) = 9 × 13 = 117 ( take square root of both sides )

z =
`√(117)`

=
`√(9(13))`

=
`√(9)` ×
`√(13)`

= 3
`√(13)`