Question

The length of a side of a rhombus is 6.5 cm and its altitude is 10 cm if the length of its one diagonal is 26cm then the length of the other diagonal is

optionas
(1) *3 cm (2) 5 cm (3) 6 cm (4) 8 c,m

Answer 1

heya..

here is your answer..

Given

side=6.5cm

altitude=10cm

area of rhombus=side *altitude=(10*6.5)=65

as we know the area of rhombus =1/2*d1*d2

65=1/2*26*d2(as one of diagonal given =26cm)

d2=5cm

answer=5

The correct option is 5cm.

it may help you..

Answer 2

Rhombus is a parallelogram

Therefore, Area of Rhombus
=base * height
=6.5*10
=65 cm square

Also, area of rhombus = 1/2 * d1 * d2
=> 65 = 1/2 * 26 * d2
=>d2 = 5 cm

Hence, answer is (2) 5 cm.