Question

The diagonals of a

rhombus are 8 cm and 15

cm. Find its side.​

Answer 1

Answer:

The diagram can be draw as following :

Diagonals of a rhombus , d1=8cm,d2=15cm

By dividing d1 and d2 in two equal halves we get four right angled triangles.

Now the base of each triangle would be d1/2=8/2=4cm

Perpendicular =d2/2=15/2=7.5cm

Hypotenuse = side of rhombus

Hypotenuse

2

= perpendicular

2

+ base

2

H

2

=7.5

2

+16

H=56.25+16

H=

72.25

H=8.5cm

Step-by-step explanation:

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Answer 2

Answer:

8.5 cm

Step-by-step explanation:

Formula for side of a rhombus is [√{(Diagonal 1)² + (Diagonal 2)²}]/2

Diagonal 1 = 8 cm, Diagonal 2 = 15 cm

∴ Side = {√(8² + 15²)}/2 cm

∴ Side = {√(64 + 225)}/2 cm

∴ Side = (√289) /2 cm

∴ Side = 17/2 cm

∴ Side = 8.5 cm