In isosceles triangle T, the sides and the altitude to the base all have integer lengths. If T’s perimeter is 32, what is T’s area

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In isosceles triangle T, the sides and the altitude to the base all have integer lengths. If T’s perimeter is 32, what is T’s area?

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  1. By considering the given information about perimeter , the calculated area of the given isosceles triangle will be (2x + 32) * h / 2, where  x is equal side length and h is height of triangle.
    What is isosceles triangle?
    If any two side of a triangle are equal than it is an isosceles triangle.
    What is perimeter?
    The sum of all the side of a triangle is called perimeter.
    The perimeter of T is equal to the sum of the lengths of its three sides. We can express this relationship as follows:
    2x + y = 32
    Since the altitude to the base of T has an integer length, we can call the length h. The area of T is equal to the product of the base and the altitude divided by 2:
    A = (y * h) / 2
    We can express the area of T in terms of the variables x and y by substituting the expression for y in terms of x into the expression for the area:
    A = (2x + y) * h / 2
    = (2x + 32) * h / 2
    To learn more about area and perimeter visit:
    #SPJ1

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