RT area

A right triangle has an area of 54cm2. Calculate the sizes of both legs if the shorter leg is 75% of the size of the longer leg.

Correct answer:

a =  12 cm
b =  9 cm

Step-by-step explanation:

S=54 cm2 S = 2a b  r=75%=10075=43=0.75  b=r a S = 2a b = 2a r a = 2r a2  a=2 S/r=2 54/0.75=12 cm
b=r a=0.75 12=9=9 cm   Verifying Solution:   S2=2a b=212 9=54 cm2

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