Respuesta :

Answer:

2.5 yd or 3 yd

Step-by-step explanation:

Answer:

x = 3 yd

Step-by-step explanation:

We know the triangle is a right angle due to the symbol, so we can use pythagoras theorem to find the missing side:

[tex]a^2 + b^2 = c^2[/tex]

Changing the subject to a/b as we have the hypotenuse but not a side:

[tex]b^2 = c^2 - a^2[/tex]

Substitute in the known variables:

[tex]b^2 = 5^2 - 4^2[/tex]

[tex]b^2 = 25 - 16\\[/tex]

[tex]b^2 = 9[/tex]

Square root both sides:

[tex]\sqrt{x^2} = \sqrt{9}[/tex]

[tex]x = \sqrt{9}[/tex]

x = 3 yd

Hope this helps!

RELAXING NOICE
Relax