SOLUTION: The bases of an isosceles trapezoid are of lengths 12 and 28. The area is 300. Find the length of a diagonal. i keep working this one and getting the square root of 1009. i think i

Question 38284: The bases of an isosceles trapezoid are of lengths 12 and 28. The area is 300. Find the length of a diagonal. i keep working this one and getting the square root of 1009. i think i tried to use the pythagorean theorem after finding the height which i found to equal 15.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Yes the height is 15. Good.
Now the diagonal is the hypotenuse of a right triangle with a base of 20 and height of 15. The 20 is found by subtracting 8 from 28.
So we have a 15 - 20 - 25 right triangle (really a 3-4-5).
Thus the diagonal is 25.
RELATED QUESTIONS
The perimeter of an isosceles trapezoid is 28 in and the ratio of lengths of its bases is (answered by ikleyn)

The lengths of the bases of an isosceles trapezoid are 6 centimeters and 12 centimeters.... (answered by cleomenius,MathTherapy)

The lengths of the bases of an isosceles trapezoid are 6 centimeters and 12 centimeters.... (answered by ewatrrr)

If the lengths of the bases of an isosceles trapezoid is a circle are 10 cm and 22 cm,... (answered by KMST)

If the lengths of the bases of an isosceles trapezoid inscribed in a circle are 10 cm and (answered by MathLover1)

The lengths of the bases of an isosceles trapezoid are 20 and 44, and the length of the... (answered by Fombitz)

An isosceles trapezoid has bases of lengths 6 and 8 and a height of 16. Find the area of... (answered by Boreal)

What is the area of an isosceles trapezoid, if the lengths of its bases are 16 cm and 30... (answered by ikleyn)

If the lengths of the bases of an isosceles trapezoid is a circle are 10 cm and 22 cm,... (answered by Alan3354,ikleyn)