Question

Диагонали ромба равны 10 см и 24 см. Чему равен периметр ромба.

Answer 1

d1^2+d2^2=4a^2

100+576=4a^2

676=4a^2

169=a^2

a=13

P=4*a=4*13=52см

Answer 2

Периметр ромба равен сумме длин всех его сторон. одна сторона = корень из 169, значит периметр= 4*13 = 52

Answer 3

Calculating the Perimeter of a Rhombus with Given Diagonals

To calculate the perimeter of a rhombus when the lengths of its diagonals are given, we can use the formula:

Perimeter = 2 * (sqrt(diagonal1^2 + diagonal2^2))

Where: - diagonal1 and diagonal2 are the lengths of the diagonals.

Given that the diagonals of the rhombus are 10 cm and 24 cm, we can calculate the perimeter using the formula above.

Calculation

Using the formula: Perimeter = 2 * (sqrt(10^2 + 24^2))

Perimeter = 2 * (sqrt(100 + 576))

Perimeter = 2 * (sqrt(676))

Perimeter = 2 * 26

Perimeter = 52

Therefore, the perimeter of the rhombus is 52 cm.

This calculation is based on the formula for finding the perimeter of a rhombus using the lengths of its diagonals