Right-angled 40961

A right-angled triangle ABC has sides a = 5 cm, b = 8 cm. The similar triangle A'B'C' is 2.5 times smaller. Calculate what percentage of the area of ​​triangle ABC is the area of ​​triangle A'B'C'.

Correct answer:

p =  16 %

Step-by-step explanation:

a=5 cm b=8 cm  k=1/2.5=52=0.4  x=a k=5 52=55 2=510=2 cm y=b k=8 52=58 2=516=3.2 cm  S1=2a b=25 8=20 cm2 S2=2x y=22 516=516=3.2 cm2  p=100 S1S2=100 20516=16%

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