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

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )

probably .5

i can on others if necessary.