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SashulF [63]
2 years ago
14

What is the length of a diagonal and area of a rhombus, if the length of its side is 10 cm, and the length of the other diagonal

is 12 cm?

Mathematics
2 answers:
Mandarinka [93]2 years ago
5 0

Answer:

The area of rhombus is 96 cm² and the length of other diagonal is 16 cm.

Step-by-step explanation:

Refer the figure given.

Using Pythagoras theorem to get half length of unknown diagonal

l = \sqrt{10^2-6^2} =8cm

Length of unknown diagonal = 2l = 2 x 8 = 16 cm

Area of rhombus is half of product of diagonals.

\texttt{Area = }\frac{1}{2}\times 12\times 16=96cm^2

Brrunno [24]2 years ago
4 0

The side of a rhombus and the half-diagonals form a right triangle. The length of the other half-diagonal is found from the Pythagorean theorem to be

... d = √((10 cm)² -(6 cm)²) = √(64 cm²) = 8 cm

The length of the other diagonal is 16 cm.

The area is half the product of the diagonal lengths, so is

... area = (1/2)(12 cm)(16 cm) = 96 cm²

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Step-by-step explanation:

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Answer:

<em>Answer is </em><em>10</em><em>/</em><em>7</em>

Step-by-step explanation:

[tex] (\frac{6}{10} )r = \frac{6}{7} \\ cancelling \: 6 \: on \: both \: sides \\ (\frac{1}{10} )r = \frac{1}{7} \\ \frac{r}{10} = \frac{1}{7} \\ r = \frac{10}{7} \: \\

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>.</em>

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2 years ago
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Now:

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Answer:

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Step-by-step explanation:

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I was challenged to write this in a single equation:

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/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

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