a rhombus with side 10 metre has one diagonal of length 16 metre find

1.	a rhombus with side 10 metre has one diagonal of length 16 metre find the length of the Other diagonal and its area
Answer» ong>Answer: 96 cm^2. Step-by-step EXPLANATION: Diagonals of a rhombus bisect each other at right angles. let ABCD be the rhombus diagonals AC = 16 cm and side ab = 10 cm since In right triangle aob,ab = 10 cm, AO = 8 cm By Pythagoras THEOREM, AB^2 AO^2 + BO^2 (10)^2 = (8)^2 + Bo^2 BO^2 = (8)^2 + (8)^2 BO = 6 cm since diagonal bd = 26 = 12 cm Area of rhombus = 1/2 PRODUCT of the diagonal =1/2* 16* 12 = 96 cm^2 hence length of other diagonal = 12 CM , area of rhombus 96 CM^2 this is your answer........... Salmønpanna

a rhombus with side 10 metre has one diagonal of length 16 metre find the length of the Other diagonal and its area

Answer»

ong>Answer:

96 cm^2.

Step-by-step EXPLANATION:

Diagonals of a rhombus bisect each other at right angles.

let ABCD be the rhombus diagonals AC = 16 cm and side ab = 10 cm

since In right triangle aob,ab = 10 cm, AO = 8 cm

By Pythagoras THEOREM, AB^2

AO^2 + BO^2

(10)^2 = (8)^2 + Bo^2

BO^2 = (8)^2 + (8)^2

BO = 6 cm

since diagonal bd = 2*6 = 12 cm

Area of rhombus = 1/2* PRODUCT of the diagonal

=1/2* 16* 12

= 96 cm^2

hence length of other diagonal = 12 CM , area of rhombus 96 CM^2

this is your answer........... Salmønpanna