Question

the base of a triangle is (x2+y2) and its height is 12xy. Find the area of a triangle

Answer 1

it is because of the surfacetention

Answer 2

Given:

The base of a triangle= $x^{2} +y^{2}$

The height of the triangle=12xy

To find:

The area of the triangle

Solution:

The triangle's area is 6$x^{3}$y+6x$y^{3}$.

The area can be calculated by taking the product of the given triangle's height and base and taking half of it.

So, the required area=1/2×base×height

We will put the given values and obtain the area.

Using the given values,

So, the area of the triangle=1/2×($x^{2} +y^{2}$)×12xy

=6xy($x^{2} +y^{2}$)

=6$x^{3}$y+6x$y^{3}$

Thus, the triangle's area is 6$x^{3}$y+6x$y^{3}$.