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3 years ago

I do not understand question 6

Mathematics

1 answer:

Leokris [45]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

The diagonals of the parallelogram are AC and BD. The way the diagram is drawn, BD is the long diagonal, said to be 24 inches. AC is the short diagonal, said to be 12 inches.

Since AC bisects BD at point E, point E is the midpoint of BD. That means BE = (24 inches)/2 = 12 inches.

Since BD bisects AC at point E, point E is the midpoint of AC. That means EC = (12 inches)/2 = 6 inches.

Now, we know the lengths of the sides of ΔBEC, so we can find its perimeter. The perimeter of any geometry is the sum of the lengths of its sides.

perimeter ΔBEC = CB +BE +EC

perimeter ΔBEC = 10 in + 12 in + 6 in = 28 in

The perimeter of triangle BEC is 28 inches.

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In triangle PQR, PR = 23mm, QR = 39mm, and m<R = 163 degrees. Find the area of the triangle to the nearest tenth.

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Step-by-step explanation:

The area of a triangle,

$A=\frac{1}{2} \times s_1\times s_2\times sin \theta$

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Here PR and QR are adjacent sides and ∠R is the included angle of these sides,

Thus, we can write,

$s_1 = PR= 23\text{ mm}$ , $s_2=QR=39\text{ mm}$ and $\theta = 163^{\circ}$ ,

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$A=\frac{262.257419136}{2} = 131.128709568\approx 131.1287\text{ square mm}$

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