Isosceles right triangle

Calculate the area of an isosceles right triangle whose perimeter is 810 cm.

Correct answer:

S =  28142.2 cm

Step-by-step explanation:

o=810 cm o= 2a+b γ=90  sin γ/2 =  ab/2 b = 2a sin γ/2 = 2a sin 45° o = 2a + b = 2a + 2a sin 45° = 2a(1+ sin 45°)  r=2 (1+sin45°)=sinπ/4=3.41421  a=o/r=810/3.4142237.2435 cm  S=21 a2=21 237.24352=28142.2 cm

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