Question

Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm if one of its diagonal is 8 cm long find the length of the other diagonal

Answer 1

length of 2nd diagonal = 2 * altitude = 2 * 4.8 = 9.6cm

Area of Rhombus = 1/2 * 8 * 9.6 = 4 * 9.6 = 38.4cm^2

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Answer 2

Question :-

Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

Given :-

• Side of rhombus = 5cm

• Altitude = 4.8cm

• Diagonal = 8cm

To find :-

• Length of other diagonal ?

Solution :-

• Side = 5 cm

• Altitude = 4.8 cm

• Length of one diagonal = 8 cm

___________

Area of rhombus = side × altitude

➠ 5 × 4.8

➠ 24 ${cm}^{2}$

Area of the rhombus = 12 × $d_{1}$ × $d_{2}$

➠24 = 12 × $d_{1}$ × $d_{2}$

➠24 = 4$d_{2}$

➠$d_{2}$ = 6 cm

Hence, the length of other diagonal = 6 cm