the trapezoid has equal nonparallel sides the upper base is 6. the lower base is 16. and the diagonal is 12. what is the attitude of the trapezoid?
draw the figure. Draw the diagonol. Notice that 5 is the overlap on each end of the base from the upper base downward. Now look at the right triangle 12-11-h (the 11 is 16-5).
12^2=11^2+h^2 solve for h.
To find the altitude of a trapezoid, we need to use the formula:
Altitude = (2 × Area) / (Base1 + Base2)
First, let's find the area of the trapezoid using the bases and the diagonal. Since the trapezoid has equal nonparallel sides, we can use the formula for the area of a trapezoid:
Area = (diagonal × (Base1 + Base2)) / 2
Substituting the given values, we have:
Area = (12 × (6 + 16)) / 2
= (12 × 22) / 2
= 132
Now, we can substitute the area in the altitude formula to find the altitude:
Altitude = (2 × 132) / (6 + 16)
= 264 / 22
= 12
Therefore, the altitude of the trapezoid is 12.