Question

Диагонали параллелограмма ABCD пересекаются в точке О. Известно ,что AC=10см,BD=6см, AD=5см. Найдите периметр треугольника AOD? Помогите (Только описать надо подробно или хотябы решение плизз

Answer 1

Осільки за властивістю паралелограма діагоналі точкою перетину діляться навпіл то
AO=AC:2=10:2=5(см)
OD=BD:2=6:2=3(см)
PтрикутникаAOD=AO+OD+AD
P=5+3+5=13(см)

Answer 2

Finding the Perimeter of Triangle AOD

To find the perimeter of triangle AOD, we can use the given information about the parallelogram ABCD and the fact that its diagonals intersect at point O. The lengths of the sides of the parallelogram are as follows: - AC = 10 cm - BD = 6 cm - AD = 5 cm

First, let's find the length of AO and OD using the given information.

Finding the Length of AO and OD

We can use the properties of a parallelogram to find the lengths of AO and OD. When the diagonals of a parallelogram intersect, they bisect each other. This means that the point of intersection divides each diagonal into two equal parts.

Given that the diagonals intersect at point O, we can use the properties of a parallelogram to find the lengths of AO and OD.

The length of AO can be found using the formula: AO = 1/2 * AC.

Similarly, the length of OD can be found using the formula: OD = 1/2 * AC.

Calculating the Lengths of AO and OD

Substituting the given value of AC: AO = 1/2 * 10 cm = 5 cm. OD = 1/2 * 10 cm = 5 cm.

Now that we have the lengths of AO and OD, we can proceed to find the perimeter of triangle AOD.

Finding the Perimeter of Triangle AOD

The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the perimeter of triangle AOD can be calculated as follows: Perimeter of AOD = AO + OD + AD.

Substituting the calculated values: Perimeter of AOD = 5 cm + 5 cm + 5 cm = 15 cm.

Therefore, the perimeter of triangle AOD is 15 cm.