A rhombus has sides of length 10 cm and one diagonal of length 12 cm. How long is the other diagonal, in cm?

The length of the other diagonal is 16cm

Then, we'll use Pythagoras theorem which will be:

a² + b² = c²

6² + b² = 10²

36 + b² = 100

Collect like terms

b² = 100 - 36

b² = 64.

b =✓64.

b = 8cm

Then, the diagonal will be twice of b

= 2b = 2 × 8 = 16cm

Therefore, the other diagonal is 16cm.

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16 cm

Step-by-step explanation:

Side of the rhombus and half diagonals form a right triangle

We have hypotenuse= 10 cm and one leg= 12/2= 6 cm

The other leg:

So the other diagonal is twice as 8 cm leg, d= 8 cm * 2=  16 cm

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24 units

step-by-step explanation: