Respuesta :

Answer:

BE= 9.7  AD=23.1  perimeter=70.2

Step-by-step explanation:

we can use the Pythagorean theorem for this (a^2+b^2=c^2)

lets start with the triangle DAC  (AD)

A=22 b=7 c=x

[tex]22^2+7^2=x^2[/tex]

[tex]x^2=533\\\sqrt{x^2} =\sqrt{533}[/tex]

x=23.087 (23.1 rounded)

then we find the missing side of the last triangle  (BE)

[tex]x^2+7^2=12^2[/tex]

[tex]x^2+49=144\\x^2=95\\\sqrt{x^2} =\sqrt{95}[/tex]

x=9.747  (9.7 rounded)

we then add all the missing sides (perimeter)

23.087*2+12*2=70.174 then we can round to 70.2