Respuesta :

Hello!

You use the Pythagorean Theorem to solve this

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

Put in the values it tells you

[tex] a^{2} + 1^{2} = \frac{5}{4} ^{2} [/tex]

Square the numbers

[tex] a^{2} + 1 = \frac{25}{16} [/tex]

Subtract 1 from both sides

[tex]a^{2} = \frac{9}{16} [/tex]

Take the square root of both sides

[tex]a = \frac{3}{4} [/tex]

The answer 3/4 or 0.75

Hope this helps!