Answer:
The missing side length is 24.98 units
Step-by-step explanation:
Given
The attached right-triangle
Required
The length of the missing length
Let the missing length be x.
Apply Pythagoras theorem
[tex]Hyp^2 = Opp^2 + Adj^2[/tex]
This gives
[tex]43^2 = 35^2 + x^2[/tex]
[tex]1849 = 1225 + x^2[/tex]
Collect like terms
[tex]x^2 = 1849 - 1225[/tex]
[tex]x^2 = 624[/tex]
Take square roots of both sides
[tex]x = \sqrt{624[/tex]
[tex]x = 24.98[/tex] --- approximated