Respuesta :

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