EXERCISE - 1
The sum of the angles in a triano
in another.
S 180°, prove it (not as given in the theorem)
Prove that the sum of the altitudes is less the
2.
VI
triangle.
less than the sum of the sides of the
Prove that in a triangle, the greater angle has the
Prove that each angle of an equilateral triangle is 60°
greater angle has the longer side opposite to it.
If the bisector of the vertical angle of a triangle bisects th
triangle is isosceles.
If the altitudes from two vertices of a triangle to the op
prove that the triangle is isosceles.
Prove that medians of equilateral triangle are equal.
In a triangle ABC, If ZA = 400, ZB = 60°, then which side of the triangle i
longest and which side is shortest?
Prove that sum of the three sides of a triangle is greater than the sum of
medians.
In a right angled triangle, Prove that hypotenuse is the longest side.
In a triangle ABC, if AB = AC, and ZA= 70º find Z B and ZC.
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Answer:
In a euclidean space, the sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180°, π radians, two right angles, or a half -turn. It was unknown for a long time whether other Geometries exist, where this sum is different.
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