Answer:
Length of the shorter diagonal is 8.68 cm.
Step-by-step explanation:
Length of the side AB = 11 cm
Length of side BC = 5 cm
Angle between these sides, m∠ABC = 50°
By cosine rule in ΔABC,
AC² = AB² + BC² - 2AB.BC.cos B
AC² = (11)² + 5² - 2(11)(5)cos50°
AC² = 121 + 25 - 70.71
AC = √(75.29)
AC = 8.68 cm
By the property of parallelogram,
m∠B + m∠C = 180° [Interior consecutive angles]
50° + m∠C = 180°
m∠C = 130°
Similarly, In ΔBCD,
BD² = BC² + CD² - 2BC.CD.cos130°
BD² = (5)² + (11)² - 2(5)(11)cos130°
BD² = 25 + 121 + 70.71
BD² = 216.71
BD = 14.72 cm
Therefore, length of the shorter diagonal will be 14.72 cm.
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Another way is they both end in 4
Another way is they are both under 500,000
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In an inverse proportion two veriables are inversely proportional to each other.You can write the equation as P=n/x, and N is the constant of proportionality.In the equation the X increases and the P decreases.
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Answer:
The area is 15 cm^2.
Step-by-step explanation:
Step 1: Start with the given formula.
Step 2: Then replace l and w with the given measures.
Step 3: Then do the calculation.
Step 1: A = lw
Step 2: A = (3 cm) * (5 cm)
Step 3: A = 15 cm^2
Answer: The area is 15 cm^2.
