To find the length of AB in the rhombus ABCD, we can use the Pythagorean Theorem.
Firstly, we know that the diagonals of a rhombus are perpendicular bisectors of each other, so we can split the rhombus ABCD into two right triangles - triangle ABD and triangle BCD.
In triangle ABD, we have the following information:
AD = 40 cmBD = 42 cm
We can find the length of AB using the Pythagorean Theorem: AB^2 = AD^2 - BD^2 AB^2 = 40^2 - 42^2 AB^2 = 1600 - 1764 AB^2 = -164
Since AB^2 is negative, this means that there is a mistake in the provided information or the calculations. Please double check the values or provide any additional information if available.
To find the length of AB in the rhombus ABCD, we can use the Pythagorean Theorem.
Firstly, we know that the diagonals of a rhombus are perpendicular bisectors of each other, so we can split the rhombus ABCD into two right triangles - triangle ABD and triangle BCD.
In triangle ABD, we have the following information:
AD = 40 cmBD = 42 cmWe can find the length of AB using the Pythagorean Theorem:
AB^2 = AD^2 - BD^2
AB^2 = 40^2 - 42^2
AB^2 = 1600 - 1764
AB^2 = -164
Since AB^2 is negative, this means that there is a mistake in the provided information or the calculations. Please double check the values or provide any additional information if available.