###### Asked in School SubjectsMath and ArithmeticAlgebraGeometry

School Subjects

Math and Arithmetic

Algebra

Geometry

# Let pxy be a point on the parabola yx2 in the first quadrant consider the triangle pao formed by p a01 and the origin o00 and the triangle pbo formed by p b10 and the origin. Find perimeter area each?

## Answer

###### Wiki User

###### September 21, 2010 10:31PM

perimeter of pao= the square root of (x^2+(x^2-1)^2) + square root of (x^2 +x^4) and add 1 for the third side

Perimeter of PBO = the square root of ((x-1)^2+x^4) + square root of (x^2+x^4) and again add 1 for third side

## Related Questions

###### Asked in Geometry

### What is the triangle perimeter?

###### Asked in Math and Arithmetic

### What is the perimeter of a triangle that has a area of 6.5 cm?

The minimum perimeter is when the triangle is an equilateral
triangle. The perimeter of any other triangle with the same area
will be longer.
In the case of an equilateral triangle area = (√3)/4 × side²
→ side = √(4×6.5 cm²/√3)
→ perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm
→ The triangle has a perimeter greater than or equal to approx
11.62 cm.

###### Asked in Math and Arithmetic, C Programming, Geometry

### Parameter of rectangle equal parameter of triangle?

I hope you want to know the Perimeter.
Perimeter is the total length of the boundary of the region
bounded by a shape.
For a rectangle it is the sum of the 4 bounding sides, or
2*(L+B), where L is Length of the rectangle and B is Breadth of the
rectangle.
For a Triangle it is the sum of the 3 sides.
If you consider an equilateral triangle. By property the 3 sides
of an equilateral triangle are equal. Hence the Perimeter of an
equilateral triangle is denoted as;
3*a, where a is the length of one of the sides of the
triangle.
It is possible that the perimeter of a rectangle is same as that
of many different types of triangles. We can formulate a
relationship for a special case where the perimeter of a rectangle
is equal to the perimeter of an equilateral triangle;
P(R) = P(ET), P(R) is perimeter of rectangle and P(EQ) is
perimeter of Equilateral triangle.
P(R)=2(L*B) = P(EQ) = 3*a;
hence, a = (2/3)*(L*B) = P(R)/3.
i.e., the sides of the Equilateral triangle are one thirds of
the perimeter of the rectangle.

###### Asked in Math and Arithmetic, Geometry

### An equilateral triangle is inscribed in a parabola with its vertex at the vertex of the parabola how do you find the length of the equilateral triangle?

First you need more details about the parabola. Then - if the
parabola opens upward - you can assume that the lowest point of the
triangle is at the vertex; write an equation for each of the lines
in the equilateral triangle. These lines will slope upwards (or
downwards) at an angle of 60°; you must convert that to a slope
(using the tangent function). Once you have the equation of the
lines and the parabola, solve them simultaneously to check at what
points they cross. Finally you can use the Pythagorean Theorem to
calculate the length.