RT 11

Calculate the area of the right triangle if its perimeter is p = 45 m and one cathetus is 20 m long.

Correct answer:

S =  45 m2

Step-by-step explanation:

b=20 c2=a2+b2 45=a+b+c S=21ab  45=a+b+a2+b2 45=a+20+a2+202 25=a+a2+400 25a=a2+400 62550a+a2=a2+400 62550a=400 625400=50a  a=(625400)/50=4.5   S=21ab=214.520=45 m2

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