Answer:
a = 20.79cm ( 2 decimal places)
Step-by-step explanation:
find the length of the identical sides (i name it "x") first using Pythagoras theorem
[tex]14.8^{2}[/tex] = [tex]x^{2} + x^{2}[/tex]
219.04 = [tex]2x^{2}[/tex]
[tex]x^{2}[/tex] = 219.04/2 = 109.52
x = [tex]\sqrt{109.52}[/tex]
now find a,
[tex]a^{2}[/tex] = [tex](\sqrt{109.52}) ^{2}[/tex] + [tex](7.5 + \sqrt{109.52}) ^{2}[/tex]
[tex]a^{2}[/tex] = 109.52 + 322.7477 = 432.2677
a = [tex]\sqrt{432.2677}[/tex] = 20.791048
