Statements are true or false in triangle and its properties:

State whether the following statements are true (T) or false (F):
(i) A triangle can have all three angles with a measure greater than 60°.
(ii) A triangle can have all three angles with a measure of less than 60°.
(iii) If an exterior angle of a triangle is a right angle, then each of its interior opposite angles is acute.
(iv) In a right-angled triangle, the sum of two acute angles is 90°.
(v) If all the three sides of a triangle are equal, then it is called a scalene triangle.
(vi) Every equilateral triangle is an isosceles triangle.
(vii) Every isosceles triangle must be an equilateral triangle.
(viii) Each acute angle of an isosceles right-angled triangle measures 60°.
(ix) A median of a triangle always lies inside the triangle.
(x) An altitude of a triangle always lies outside the triangle.
(xii) In a triangle, the sum of squares of two sides is equal to the square of the third side.

Solution:

More Solutions:

• Name the vertex opposite to side PQ.
• The triangles according to its (a) sides (b) angles.
• In the given ∆PQR, if D is the mid-point.
• Will an altitude always lie in the interior of a triangle?
• Draw rough sketches for the following:
• Take an equilateral triangle and draw its medians.