In an isosceles trapezoid the length of a diagonal is 25 cm and the length of an altitude is 15 cm. find the area of the trapezoid. lots of points

The area of the trapezoid is

Step-by-step explanation:

we know that

The area of a isosceles trapezoid is equal to the area of two isosceles right triangles plus the area of a rectangle

step 1

Find the area of the  isosceles right triangle

Remember that

In a isosceles right triangle the height is equal to the base of the triangle

we have

so

The area is equal to

substitute the values

step 2

Find the area of the rectangle

The area of the rectangle is equal to

we have

-----> is the height of the trapezoid

 -----> the diagonal of the rectangle

Applying the Pythagoras Theorem

The area of the rectangle is

step 3

Find the area of the trapezoid

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )