A right triangle has side lengths that measure 4 units, 5 units and \sqrt{41}
41

units. Is the value of the perimeter of the triangle a rational or irrational number? Is the area of the triangle a rational or irrational number?

Respuesta :

The value of the perimeter of the right triangle is irrational while the value of the area is rational

Right triangle;

Right triangle has one of its angles as 90 degrees.

The sides are 4 units, 5 units and √41 units.

The value of the perimeter and area can be calculated as follows;

perimeter = 4 + 5 + √41 = 9 + √41 units

area = 1 /2 bh = 1 / 2 × 4 × 5 = 10 units²

A Rational Number can be made by dividing an integer by an integer. A rational number is a number that can be in the form x/y where x and y are integers and y is not equal to zero.

Therefore, the perimeter is irrational and the area is rational.

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