Let fghb a right triangle with right angle g and an altitude as shown find xyz

Part 1)

Part 2)

Part 3)

Step-by-step explanation:

step 1

Find the value of z

In the smaller right triangle IFG of the figure

Applying the Pythagoras Theorem

step 2

In the right triangle HFG

Applying the Pythagoras Theorem

-----> equation A

step 3

In the right triangle HIG

Applying the Pythagoras Theorem

-----> equation B

step 4

equate equation A and equation B

step 5

Find the value of y

Substitute the value of x in the equation B

we have

i think is g(1)=-1.

hope that i can