SOLUTION: find the perimeter of an isoceles right angled triangle having an area of 5000m2

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Question 1084356: find the perimeter of an isoceles right angled triangle having an area of 5000m2

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
, perimeter
d, diagonal hypotenuse
x, each leg

x is also height and a base.




Isosceles RIGHT Triangle.
, Pythagorean Theorem Formula




Perimeter:

Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.
Let x be the length of either leg (the legs are congruent, since the triangle is isosceles).


Then the area of this right-angled triangle is  = 5000 m^2, which implies

 = 10000 m^2, i.e.   x = 100 m.


Then the hypotenuse is  and the perimeter is  m.

Solved.


Notice that "josgarithmetic" mistakenly uses the term "diagonal", which is not applicable in this case.



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