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

BD = 15 m

Step-by-step 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

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

step-by-step explanation:

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