Can any side of a triangle be labeled as its base? Explain.

1 answer:

5 0

Sometimes, for it depends on the triangle. Take a right triangle, for instance. In a right triangle, the hypotenuse is always greater than the two legs. Therefore, you cannot label any side as the base, since the sides are different. In an equilateral triangle, on the other hand, all of the sides and angles are the same. Therefore, no matter which way you turn the triangle, every side is equal. In this sense it doesn't matter which side is labeled as the base. So, it really depends on the kind of triangle you're referring to.

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A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yequals25minusxsquared. What are

Karolina [17]

Answer:

The answer is " $\bold{\frac{32}{3}}\\$ "

Step-by-step explanation:

The rectangle should also be symmetrical to it because of the symmetry to the y-axis The pole of the y-axis. Its lower two vertices are (-x,0). it means that

and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:

The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).

The area of the rectangle:

$A(x)=(2x)(16-x^2)\\\\A(x)=32x-2x^3$