1 Answer

Derk · Answer 1 · 2021-07-31T06:04:42+0000

Answer:

3√10

Given:

A right triangle in which an altitude is drawn from the right angle vertex

To find: value of X

We have leg rule in similarity in right triangle as:

$(leg)/(part) = (hypotenuse)/(leg) \\$

Plugging the given values,

$(z)/(3) = (3 + 27)/(z) \\ z * z = 3(3 + 27) \: \: (cross \: multiplication) \\ {z}^(2) = 9 + 81 \\ {z}^(2) = 90 \\ z = √(90) \\ z = 3 √(10)$

Hope this helps...

Good luck on your assignment..