A right-angled triangle has a perimeter of 1276 and a longest side of 533. What is the length of the inradius?
+1639 A right-angled triangle has a perimeter of 1276 and the longest side of 533. What is the length of the inradius?
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Side: c = 533
(743 - a)2 + a2 = 5332
a = 308
b = 743 - 308 = 435
Semiperimeter: s = 1276 / 2 = 638
Triangle area: A = 1/2(308 * 435) = 66990
Inradius: r = A / s = 105
+1639 A right-angled triangle has a perimeter of 1276 and the longest side of 533. What is the length of the inradius?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Side: c = 533
(743 - a)2 + a2 = 5332
a = 308
b = 743 - 308 = 435
Semiperimeter: s = 1276 / 2 = 638
Triangle area: A = 1/2(308 * 435) = 66990
Inradius: r = A / s = 105
