A triangle has sides 6,7, and 8. The line through its incenter parallel to the shortest side is drawn to meet the other two sides at P and Q. Then find the length of the segment PQ.

A triangle has sides 6,7 and 8. The line through its incentre parallel to the shortest side is drawn to meet the other two sides at P and Q. Then find the length of the segment [PQ] (where [.] is g.i.f

The longest side of a triangle is twice the shortest side and the third side is 2 cm longer than the shortest side. If the perimeter of the triangle is more than 166 cm, then find the minimum length of the shortest side.

The longest side of a triangle is twice the shortest side and the third side is 2 cm longer than the shortest side. If the perimeter of the triangle is more than 166 cm, then find the minimum length of the shortest side.

The longest side of a triangle is twice the shortest side and the third side is 3 cm longer than the shortest side. If the perimeter of the triangle is at least 39 cm, find the minimum length of the longest side.

The longest side of a triangle is twice the shortest side and the third side is 3 cm longer than the shortest side. If the perimeter of the triangle is at least 39 cm, find the minimum length of the longest side.

The line drawn through the mid-points of one side of a triangle, parallel to another side, intersects the third side at its midpoint.

State and prove Thales theorem Statement A straight line drawn parallel to a side of triangle intersecting the other two sides , divides the sides in the same ratio.

Theorem 8.10 : The line drawn through the mid-point of one side of a triangle, parallel to another side bisects the third side.

The line drawn through the mid-point of one side of a triangle, parallel to another side, intersects the third side at its mid-point.