Respuesta :

Answer:

x = 24

Step-by-step explanation:

Apply Pythagoras theorem:

[tex](Hypotnuse)^2=Base^2+Height^2\\(x+1)^2=(x)^2+(7)^2\\(x)^2+2(x)(1)+(1)^2=x^2+49\\x^2+2x+1=x^2+49\\x^2-x^2+2x+1-49=0\\0+2x+1-49=0\\2x-48=0\\2x=48\\x=48/2\\x=24[/tex]