Suppose a rt. tiangle is drawn having natural base,natural perpendicular & natural hypotenuse.Extend the base of this triangle upto a natural number.Now draw a rt. triangle on this extended base.The perpendicular of this second rt. triangle is natural and is drawn from the point where this base gets extended & is parallel to the perpendicular of the first triangle.This triangle also gives a natural hypotenuse.
Can a third rt triangle be drawn extending the hypotenuse of the right side triangle & extending the perpendicular of the left side triangle.
The base of this third rt. triangle is natural.The perpendicular & the hypotenuse of this third rt. triangle should also come natural.
2006-11-09 21:35:00 · 2 answers · asked by rajesh bhowmick 2 in Science & Mathematics ➔ Mathematics
No, if u draw two right triangles of a common( extended base ) snd then try drawing another triangle ( any type ) by extending the perpendiculars, its impossible as the perpendicualrs are parallel to each other.
2006-11-10 02:19:54 · answer #1 · answered by Enlightened 2 · 0⤊ 0⤋
Sure its possible. As an example, just make the second triangle the same size as the first triangle. Then the third triangle you draw will have double the dimensions of the first two triangles. Double a natural number is still a natural number...
2006-11-10 07:00:35 · answer #2 · answered by heartsensei 4 · 0⤊ 0⤋