1.Draw altitudes of
1)acute angle triangle.
2)obtuse angle triangle.
3)right angle triangle.
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Answer:
- An altitude of a triangle is a line that passes through an apex of a triangle and is perpendicular to the opposite side. The three altitudes of an acute angle intersect at the orthocenter and it always lies inside the triangle.
Step-by-step explanation:
- The altitude of a right-angled triangle divides the existing triangle into two similar triangles. According to right triangle altitude theorem, the altitude on the hypotenuse is equal to the geometric mean of line segments formed by altitude on hypotenuse.
- In an obtuse triangle (one with an obtuse angle), the foot of the altitude to the obtuse-angled vertex falls in the interior of the opposite side, but the feet of the altitudes to the acute-angled vertices fall on the opposite extended side, exterior to the triangle
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