the diagonals of a rhombus The perimeter of a rhombus is 100 cm and one diagonal is 48 cm. Find (a) the length of the other diagonal (b) the area of the rhombus.
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Step-by-step explanation:
If the perimeter is 100 cm, then each side is 25 cm. If one diagonal is 48 cm, then half of that diagonal is 24 cm.
Each side and 1/2 of each diagonal forms a right triangle. I can use the Pythagorean theorem to find the other 1/2 diagonal.
The other half diagonal = √(25² - 24²) = √(625 - 576) = √49 = 7, so the a)complete length of the other diagonal is 7 cm x 2, or 14 cm.
The area of a rhombus can be found by: A = (1/2)×d₁×d₂
b)Area= (1/2) × 48 × 14 = 336 cm²
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Answer:
DIAGONAL (b) = 14
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