Question
The length of diagonals of a rhombus are
24cm and 10cm respectively
A) calculate the area
B) calculate the sides
C)the perimeter
24cm and 10cm respectively
A) calculate the area
B) calculate the sides
C)the perimeter
Answers
GPT 3.5
A) To calculate the area of a rhombus, we can use the formula: (1/2) * d1 * d2, where d1 and d2 are the lengths of the diagonals.
Area = (1/2) * 24cm * 10cm
Area = 120 cm^2
B) To calculate the sides of a rhombus, we can use the formula for the sides in terms of the diagonals: s = sqrt((d1/2)^2 + (d2/2)^2)
s = sqrt((24cm/2)^2 + (10cm/2)^2)
s = sqrt(144cm^2 + 25cm^2)
s = sqrt(169cm^2)
s = 13cm
C) The perimeter of a rhombus can be calculated by multiplying the length of one side by 4.
Perimeter = 4 * s
Perimeter = 4 * 13cm
Perimeter = 52cm
Area = (1/2) * 24cm * 10cm
Area = 120 cm^2
B) To calculate the sides of a rhombus, we can use the formula for the sides in terms of the diagonals: s = sqrt((d1/2)^2 + (d2/2)^2)
s = sqrt((24cm/2)^2 + (10cm/2)^2)
s = sqrt(144cm^2 + 25cm^2)
s = sqrt(169cm^2)
s = 13cm
C) The perimeter of a rhombus can be calculated by multiplying the length of one side by 4.
Perimeter = 4 * s
Perimeter = 4 * 13cm
Perimeter = 52cm