Question

In isosceles triangle ABC the segment BD is the median to base line AC. Find BD if the perimeter of the triangle is 50m and the perimeter of ABD is 40 m

Answer 1

BD = 15 m

Explanation:

Mathematically, we can find the perimeter of a triangle by adding all of the sides

Mathematically, the line from the top vertix of an isosceles triangle is perpendicular to the base line

So what this mean is that it splits the base line into 2 equal parts

So, in this case, since AC is base;

AD = CD

Please check the attachment for diagrammatic representation

So from the diagram;

25-x + x + BD = 40

25 + BD = 40

BD = 40-25

BD = 15 m