Question

the side of a rhombus is 13 cm and the length of one of the diagonal is 24 cm find the length of the Other diagonal

Answer 1

The diagonals of a rhombus intersect at right angle.

Using a² + b² = c², we can find the 1/2 the length of the other diagonal.

a = 24 ÷ 2 = 12 cm, b = the value we are looking for, c = 13 cm

a² + b² = c²

12² + b² = 13²

b² = 13² - 12²

b² = 25

b = √25

b = 5 cm

Find the length of the other diagonal:

Length = 5 x 2 = 10 cm

Answer: The other diagonal is 10 cm