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Ksju [112]
2 years ago
5

One of the diagonals of a rhombus is 15 cm long. if the rhombus has an area of 60 cm², find the length of the other diagonal.​

Mathematics
1 answer:
horsena [70]2 years ago
3 0

Answer:

8.5

Step-by-step explanation:

area of a rhomus = (1/2)(product of its diagonals)

let the other diagonal be a

(1/2)(15a) = 60

15a= 120

a = 8

So let's find the hypotenuse of one of the right-angled triangles formed by the intersection of its diagonals

base = 4, height = 7.5

if h is the hypotenuse,

h^2 = 4^2 + 7.5^2

h = 8.5

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