Right triangle

Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm.

Calculate the perimeter and area of the triangle.

Correct result:

o =  192.503 cm
S =  890.4706 cm2

Solution:

c=87 cm a:b=2:8 c2=a2+b2 c2=a2+(8/2 a)2 c2=a2+(8/2)2 a2 c2=a2(1+(8/2)2)  a=c/1+(8/2)2=87/1+(8/2)221.1006 cm  b=a 82=21.1006 8284.4024 cm  o=a+b+c=21.1006+84.4024+87=192.503 cm
S=a b2=21.1006 84.40242=1513817=890.4706 cm2

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