Question

Find the area of rhombus of sides 5 cm and 4.8 cm. If one of its diagonals is 8 cm

long then find the length of the other diagonal.​

Answer 1

answer:-The area of the rohmbus with side 5cm and altitude 4.8cm is 24cmsq and the length of the other diagonal is 6cm.

I hope the answer is helpful for you.

Answer 2

Answer :

ㅤㅤ⇒ Length of other diagonal ➠ 6 cm.

Step-by-step Explanation :

Given that :

ㅤㅤ⇒ Side of the Rhombus ➠ 5 cm.

ㅤㅤ⇒ Altitude of the Rhombus ➠ 4.8 cm.

ㅤㅤ⇒ One of its diagonal ➠ 8 cm.

To Find :

ㅤㅤ⇒ Length of the other diagonal.

Formula Used :

ㅤㅤ⇒ Area of Rhombus ➠ Side × Altitude.

ㅤㅤ⇒ Area of Rhombus ➠ half of the product of its diagonals.

ㅤㅤ⇒ Its Diagonal's length ➠ ½ × length of 1st diagonal × length of 2nd ㅤㅤdiagonal = Area of Rhombus.

Assumption :

ㅤㅤ⇒ Let the other diagonal be x.

Finding the length of other diagonal :

Area of Rhombus :

ㅤㅤ⇒ 5 × 4.8

ㅤㅤ⇒ 24 m².

Length of other diagonal :

ㅤㅤ⇒ ½ × 8 × x = 24

ㅤㅤ⇒ 4x = 24

ㅤㅤ⇒ x = 6 cm.

.°. The length of the other diagonal is 6 cm.