Question

Find the area of a rhombus whose side is 5 cm and whose altitude is 8cm. If one of its diagonals is 10 cm long, find the length of the other diagonal.

Answer 1

8 cm

Explanation:

Given that:

Side = 5cm

Altitude = height = 8cm

Diagonal 1 = 10cm

Diagonal 2 = d

Area of rhombus = base * height = 0.5 * (diagonal 1 * diagonal 2)

5 * 8 = 0.5 * (10 * d)

40 = 5d

Divide both sides by 5

40/5 = 5d / 5

8 = d

Length of other diagonal = 8cm