Answered

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?
=x2 = 64
y=
x +64 and y = 0

Answer :

calculista

Answer:

The lengths of the legs  of the sun shade are [tex]8\sqrt{2}\ ft[/tex]

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides

Let

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

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

Remember that in an right isosceles triangle the legs are equal

The area is equal to

[tex]y=\frac{1}{2}(x)(x)[/tex]

[tex]y=\frac{1}{2}x^2[/tex]

we have that

[tex]y=64\ ft^2[/tex]

substitute

[tex]64=\frac{1}{2}x^2[/tex]

solve for x

Multiply by 2 both sides to remove the fraction

[tex]128=x^2[/tex]

take the square root both sides

[tex]x=\sqrt{128}\ ft[/tex]

simplify

[tex]x=8\sqrt{2}\ ft[/tex]

Answer:

Y=1/2x^2 and y=64 (option B)

Other Questions