Question

Find the perimeter of a isosceles right angled triangle whose area is 5000 m square . use ✓2=1.41

Answer 1

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Answer 2

Answer:

the answer to this question is 341

Step-by-step explanation:

$\frac{1}{2} * a * a = 5000$

$\frac{1}{2} * a^{2} = 5000$

$a^2 = 5000 * 2$

$a^2 = 10000$

$a = \sqrt{10000} \\a = 100$

now the side of the triangle is 100 now we will find the hypotenuse.

$H^2 = P^2 + B^2$

$H^2 = a^2 + a^2\\H^2 = 2a^2\\H = \sqrt{2}a$

now we will find the perimeter by adding all the sides

$perimeter = a + a + \sqrt{2}a \\perimeter = 100 + 100 + \sqrt{2} * 100 \\perimeter = 100 + 100 + 141\\perimeter = 341$

this is our final answer and

thank you :-)