Answer:
1:2
Step-by-step explanation:
Initially, the base and height of a right angle triangle is 12 and 5.
The hypotenuse can be calculated using Pythagoras theorem such that,
[tex]BC=\sqrt{12^2+5^2}\\\\BC=h=13[/tex]
When sides are doubled,
Base = 24
Height = 10
Hypotenuse = 26
Perimeter of the triangle = 24+10+26 = 60
The area of riangle,
[tex]A=\dfrac{1}{2}\times 24\times 10=120[/tex]
Required ration,
[tex]\dfrac{P}{A}=\dfrac{60}{120}\\\\=\dfrac{1}{2}[/tex]