Question

in a rhombus of side 10 cm, one of the diagonal is 12 cm long. find the length of the second diagonal.​

Answer 1

Answer

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Answer 2

Answer:

2ond Diagonal = 16 cm

Step-by-step explanation:

Let,

ABCD be a rhombus with side 12 cm

O be the point of intersection of the two diagonals

d¹ = 12 cm

d² = ???

As, diagonals of a rhombus bisect each other, so d¹ = 6+6

Now,

Using Pythagoras Theorem in any of the four triangles so formed,

h² = b²+p²

10² = 6²+p²

100 = 36+p²

100-36 = p²

64 = p²

√64 = p

8 cm = p

Here, we had found the half of the second diagonal

So,

Length of second diagonal = 2×p = 2×8 = 16 cm

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