Question

find the area of a rhombus with side 14cm and altitude 5.2cm if one of its diagonal is 15cm long find the length of its other diagonal

Answer 1

Area of rhombus = base*altitude
Area of rhombus= 14*5.2 =72.8 sq.cm

Area of rhombus = 1/2*d1*d2 where d1 and d2 are the lengths of the two diagonals.

Therefore, area=1/2*15*d2
72.8=1/2*15*d2
=> d2= 145.6/15

d2= 9.70 cm

Answer 2

Let the other diagonal be d2.

Given side of rhombus = 14cm.

           Altitude = 5.2cm.

We know that Area of the rhombus = h * s

Where h = height of the rhombus and s = side of the rhombus.

                                                           = 5.2 * 14

                                                           = 72.8cm^2.

Area of the rhombus = 72.8

 1/2 * d1 * d2 = 72.8

1/2 * 15 * d2 = 72.8

15d2 = 72.8 * 2

15d2 = 145.6

d2 = 145.6/15

d2 = 9.7cm.


Therefore the length of the other diagonal = 9.7cm.

Hope this helps!