Isosceles right triangle

Calculate the area of an isosceles right triangle whose perimeter is 252 cm.

Correct result:

S =  2723.9 cm2

Solution:

p=2a+b sinγ/2=b/2a b=2asinγ/2=2asin45 p=2a+b=2a+2asin45=2a(1+sin45)  a=p2(1+sin45)=73.809  S=12a2=1273.8092=2723.9 cm2 

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Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
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