Cathethus and the inscribed circle

In a right triangle is given one cathethus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle.

Correct result:

S =  157.5 cm2

Solution:

b=2r(ar)a2r=25(145)1425=22.5 cm S=ab/2=1422.5/2=157.5 cm2

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