To create two right triangles and an isosceles trapezoid by drawing two straight lines through a square, draw one line to be one of the diagonals of the square. Draw the other line parallel to the first. The three pieces shown are two right triangles and an isosceles trapezoid.
None unless (for example) you draw lines from each corner to the center, and then you'll have five. But there's an infinite number of ways of drawing isosceles triangles in a pentagon. (Choose any part of one edge, and use that as the base of your triangle, and then choose a height).
For an isosceles triangle with vertex 46 degrees, the sum of the remaining two base angles is 180-46 = 134 degrees. Base angles are equal because it's isosceles, so each angle is half of their sum. 134/2 = 67 degrees. Thus, any isosceles trapezoid formed inside that isosceles triangle by drawing parallel lines to the triangle's base, will have base angle measures of 67 degrees, which are triangle's base angles.
If you are talking aout triangles, then it would happen only in case of equilateral and isosceles triangles.whereas it is not so in scalene triangles. hope you understand. If not then try once by drawing it on a paper and try it on your ownand find out................
yes: Δ
____________ / | /_____________ | Crappy drawing, I know, but a right trapezoid has two right angles(right side of picture), and two supplimentary non-right angles(left side of drawing). This is still a trapezoid because in order to be a trapezoid, there must be one and only one pair of parallel lines, and four sides. That's it, thus this is a possible trapezoid.
Yes It always does because of how a trapezoid is shaped.
No, in general, it does not.
The answer is: usually not.
yes
None unless (for example) you draw lines from each corner to the center, and then you'll have five. But there's an infinite number of ways of drawing isosceles triangles in a pentagon. (Choose any part of one edge, and use that as the base of your triangle, and then choose a height).
No.
For an isosceles triangle with vertex 46 degrees, the sum of the remaining two base angles is 180-46 = 134 degrees. Base angles are equal because it's isosceles, so each angle is half of their sum. 134/2 = 67 degrees. Thus, any isosceles trapezoid formed inside that isosceles triangle by drawing parallel lines to the triangle's base, will have base angle measures of 67 degrees, which are triangle's base angles.
If you are talking aout triangles, then it would happen only in case of equilateral and isosceles triangles.whereas it is not so in scalene triangles. hope you understand. If not then try once by drawing it on a paper and try it on your ownand find out................
yes: Δ
Three triangles
____________ / | /_____________ | Crappy drawing, I know, but a right trapezoid has two right angles(right side of picture), and two supplimentary non-right angles(left side of drawing). This is still a trapezoid because in order to be a trapezoid, there must be one and only one pair of parallel lines, and four sides. That's it, thus this is a possible trapezoid.
3 triangles