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Sun shades are sold in the shape of right isosceles triangles. If the equation represents one shade that shields 64 square feet of area, which system can be used to find the lengths of the legs of the sun shade? 1/2x^2=64

Respuesta :

ashishdwivedilVT

The lengths of the legs  of the sun shade are 8√2 ft.

What is Isosceles triangle?

An isosceles triangle is a triangle that has two sides of equal length.

Here, as we know an isosceles triangle has two equal sides

Area of triangle = 64 sq. ft (given)

Let

x -----> the length side of a leg of right isosceles triangle

y ----> the area of a right isosceles triangle

Now, in an right isosceles triangle the legs are equal

The area of triangle = 1/2 X base X height

        y = 1/2 X (x) X (x)

        y = x²/2

       64 = x²/2

        128 = x²

        x = √128

       x = 8√2

Thus, the lengths of the legs of the sun shade are 8√2 ft.

Learn more about isosceles triangle from:

https://brainly.com/question/2456591

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