2006-09-27 07:08:42 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Hint: there is an 8-15-17 Pythagorean triple here...
2006-09-27 07:12:38 · answer #1 · answered by Anonymous · 1⤊ 0⤋
ha^2 = (a + b - c + d)(-a + b + c + d)(a - b - c + d)(a + b - c - d)/[4(a - c)^2]
h^2 = (20 + 17 - 4 + 17)(-20 + 17 + 4 + 17)(20 - 17 - 4 + 17)(20 + 17 - 4 - 17)/(4(20 - 4)^2)
h^2 = (50 * 18 * 16 * 16)/(4(16)^2)
h^2 = (50 * 18 * 16^2)/(4 * 16^2)
h^2 = (50 * 18)/4
h^2 = (900/4)
h^2 = 225
h = 15
ANS : Height = 15
2006-09-27 20:59:00 · answer #2 · answered by Sherman81 6 · 0⤊ 0⤋
Two parallel sides are 20&4;
other sides are 17 each
The figure is symmetrical. I
f we draw a perpendicular
on the parallel side
wehave a right angled triangle
hypotenuse=17 oneside=8
other side=height of triangle
=sqrt(17^2-8^2) from pyth.theorem
=sqrt(289-64)=sqrt225=15 ans
2006-09-27 14:33:01 · answer #3 · answered by openpsychy 6 · 0⤊ 0⤋