Cathethus and the inscribed circle

A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle.

Correct answer:

S =  157.5 cm2

Step-by-step explanation:

a=14 cm r=5 cm  b=a2 r2 r (ar)=142 52 5 (145)=245=22.5 cm  S=2a b=214 245=2315 cm2=157.5 cm2

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