SOLUTION: The base of an isosceles trapezoid measure 32cm and 20cm. find the area if the non-parallel sides measure 16cm each.

Algebra.Com
Question 1111551: The base of an isosceles trapezoid measure 32cm and 20cm. find the area if the non-parallel sides measure 16cm each.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Two congruent right triangles of height h at each side
Height of trapezoid is .
(Pythagorean Theorem)






Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
Draw the altitude to the base from the vertex.


Then you will get a right angled triangle with the hypotenuse of 16 cm long.


The length of one leg is   = 6 cm.


Then the altitude is  =  =  = .


The area of the trapezoid is   =  cm^2.

Solved.

------------------

Be aware:  The solution and the answer by the @josgarithmetic are   W R O N G.



RELATED QUESTIONS

Find the area of an isosceles triangle each of whose equal sides measures 13cm and whose... (answered by wilft1)
If the area of an isosceles triangle is x sq. cm and each of the congruent sides measures (answered by KMST)
The altitude of an isosceles trapezoid is 20cm. If the lower base is 10cm longer than the (answered by elima)
the altitude of an isosceles trapezoid is 20cm. If the lower base is 10cm longer than the (answered by jojo14344)
A trapezoid is a quadrilateral with exactly one pair of parallel sides. if the... (answered by scott8148)
The longer base of an isosceles trapezoid measures 18 ft. The nonparallel sides measure... (answered by jim_thompson5910)
What is the measure of each base angle of an isosceles triangle if it'd vertex angle... (answered by stanbon)
the altitude of an isosceles trapezoid is 20cm. if the lower base is 10cm longer than the (answered by jojo14344)
If the non-base angle of an isosceles triangle has a measure of 70*, what is the measure... (answered by stanbon)