Answer:
[tex]Opposite = Adjacent= 5[/tex]
Step-by-step explanation:
Given
[tex]Hypotenuse^2 = 50[/tex]
[tex]Opposite = Adjacent[/tex]
Required
Find the length of each leg
This is calculated using Pythagoras Theorem
[tex]Opposite^2 + Adjacent^2 = Hypotenuse^2[/tex]
[tex]Opposite^2 + Adjacent^2 = 50[/tex]
Represent the opposite and adjacent with x
[tex]x^2 + x^2= 50[/tex]
[tex]2x^2 = 50[/tex]
Divide both sides by 2
[tex]x^2 = 25[/tex]
Take square roots
[tex]x = 5[/tex]
Hence:
[tex]Opposite = Adjacent= 5[/tex]
